Question 1

Choose the one alternative that best completes the statement or answers the question.
-Two angles q and r are complimentary. The angle s is supplementary to q. Write an equation showing the relationship between r and s.

Accepted Answer

The answer of Choose the one alternative that best completes...

Question 2

Choose the one alternative that best completes the statement or answers the question.
Decide whether the perimeter or area would be used to solve a problem concerning the measure of the quantity.
-Measuring a room for baseboards

Accepted Answer

The perimeter is used to measure the distance around the room, which is necessary for determining the length of baseboards needed.

Question 3

Choose the one alternative that best completes the statement or answers the question.
Decide whether the perimeter or area would be used to solve a problem concerning the measure of the quantity.
-Measuring a garden for tilling

Accepted Answer

To measure a garden for tilling, you need to know the total surface area that will be worked on, not just the length around it.

Question 4

Choose the one alternative that best completes the statement or answers the question.
Decide whether the perimeter or area would be used to solve a problem concerning the measure of the quantity.
-Measuring a garden for a border fence?

Accepted Answer

The perimeter is used to measure the length around the garden, which is necessary for determining the length of a border fence.

Question 5

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given.
-P = 2L + 2W; L = 7, W = 7

Accepted Answer

Substituting L = 7 and W = 7 into the formula P = 2L + 2W gives P = 2(7) + 2(7) = 14 + 14 = 28.

Question 6

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given. -V = $\pi$r³; r = 4,$\pi$ = 3.14

Accepted Answer

The answer of A formula is given along with the...

Question 7

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given.
-A =  bh; b = 5, h = 6

Accepted Answer

The answer of A formula is given along with the...

Question 8

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given.
-D = rt; t = 7, d = 49

Accepted Answer

The formula given is D = rt, which rearranges to r = D/t. Substituting the given values, r = 49/7 = 7.

Question 9

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given.
-P = 2L + 2W; P = 18, W = 5

Accepted Answer

To find the value of L, substitute the given values into the formula: 18 = 2L + 2(5). Simplifying gives 18 = 2L + 10. Subtract 10 from both sides to get 8 = 2L. Divide by 2 to find L = 4.

Question 10

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given.
-V =  Bh; V = 12, h = 3

Accepted Answer

The answer of A formula is given along with the...

Question 11

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given.
-C = 2$\pi$r; C = 12.56, $\pi$ = 3.14

Accepted Answer

The formula for the circumference of a circle is C = 2πr. Given C = 12.56 and π = 3.14, we can solve for r: 12.56 = 2(3.14)r. Dividing both sides by 2π gives r = 2.

Question 12

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given. -A = $\pi$r²; r = 8, $\pi$ = 3.14

Accepted Answer

The formula given is A = πr², which simplifies to A = πr since all other operations cancel out (² simplifies to 1). Substituting the given values, A = 3.14 * 8 = 25.12. However, the correct calculation should be A = 3.14 * 8^2 = 3.14 * 64 = 200.96, because the correct interpretation of the formula involves squaring r (r^2), which was mistakenly overlooked in the simplification provided.

Question 13

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given.
-I = prt; I = 8.4, p = 210, r = 0.01

Accepted Answer

To find the value of t, rearrange the formula to t = I / (pr). Substitute the given values: t = 8.4 / (210 * 0.01) = 8.4 / 2.1 = 4.

Question 14

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given.
-

Accepted Answer

The answer of A formula is given along with the...

Question 15

Use a formula to solve the problem
-What is the perimeter of a rectangle of length 10 ft and width 10 ft?

Accepted Answer

The perimeter of a rectangle is given by the formula 2(length + width). For a square or rectangle where the length and width are both 10 ft, the perimeter is 2(10 + 10) = 2(20) = 40 ft.

Question 16

Use a formula to solve the problem
-What is the area of a square with side 2.8 cm?

Accepted Answer

The area of a square is calculated by squaring its side length. Therefore, for a square with a side of 2.8 cm, the area is $2.8^2 = 7.84 \, \text{cm}^2$.

Question 17

Use a formula to solve the problem
-Find the area of a triangle with height 7 m and base 11 m.

Accepted Answer

The area of a triangle is given by the formula 1/2 * base * height. Substituting the given values, we get 1/2 * 11 * 7 = 38.5 square meters.

Question 18

Use a formula to solve the problem
-A circle has a circumference of 46? meters. Find the radius of the circle.

Accepted Answer

The circumference of a circle is given by the formula C = 2πr, where C is the circumference, π is a mathematical constant approximately equal to 3.14, and r is the radius of the circle. In this case, the circumference is 46π meters, so the radius is 46π / 2π = 23 meters.

Question 19

Use a formula to solve the problem
-A rectangular Persian carpet has a perimeter of 216 inches. The length of the carpet is 24 inches more than the width. What are the dimensions of the carpet?

Accepted Answer

The perimeter of a rectangle is given by the formula $P = 2l + 2w$, where $l$ is the length and $w$ is the width. Given that the length is 24 inches more than the width ($l = w + 24$), we can substitute $l$ in the perimeter formula and solve for $w$. Substituting the given perimeter (216 inches) into the formula, we get $216 = 2(w + 24) + 2w$. Simplifying, we find $w = 42$ inches and $l = 66$ inches.

Question 20

Use a formula to solve the problem
-A pie-shaped (triangular) lake-front lot has a perimeter of 2100 feet. One side is 400 feet longer than the shortest side, while the third side is 500 feet longer than the shortest side. Find the lengths of all three sides.

Accepted Answer

The answer of Use a formula to solve the problem
-A...

Quiz 3: Linear Equations and Inequalities in Two Variables; Functions

Choose the one alternative that best completes the statement or answers the question. -Two angles q and r are complimentary. The angle s is supplementary to q. Write an equation showing the relationship between r and s.

Choose the one alternative that best completes the statement or answers the question. Decide whether the perimeter or area would be used to solve a problem concerning the measure of the quantity. -Measuring a room for baseboards

Choose the one alternative that best completes the statement or answers the question. Decide whether the perimeter or area would be used to solve a problem concerning the measure of the quantity. -Measuring a garden for tilling

Choose the one alternative that best completes the statement or answers the question. Decide whether the perimeter or area would be used to solve a problem concerning the measure of the quantity. -Measuring a garden for a border fence?

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given. -P = 2L + 2W; L = 7, W = 7

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given. -A = bh; b = 5, h = 6

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given. -D = rt; t = 7, d = 49

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given. -P = 2L + 2W; P = 18, W = 5

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given. -V = Bh; V = 12, h = 3

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given. -C = 2 $\pi$ r; C = 12.56, $\pi$ = 3.14

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given. -A = $\pi$ r²; r = 8, $\pi$ = 3.14

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given. -I = prt; I = 8.4, p = 210, r = 0.01

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given. -

Use a formula to solve the problem -What is the perimeter of a rectangle of length 10 ft and width 10 ft?

Use a formula to solve the problem -What is the area of a square with side 2.8 cm?

Use a formula to solve the problem -Find the area of a triangle with height 7 m and base 11 m.

Use a formula to solve the problem -A circle has a circumference of 46? meters. Find the radius of the circle.

Use a formula to solve the problem -A rectangular Persian carpet has a perimeter of 216 inches. The length of the carpet is 24 inches more than the width. What are the dimensions of the carpet?

Use a formula to solve the problem -A pie-shaped (triangular) lake-front lot has a perimeter of 2100 feet. One side is 400 feet longer than the shortest side, while the third side is 500 feet longer than the shortest side. Find the lengths of all three sides.

Quiz 3: Linear Equations and Inequalities in Two Variables; Functions

Choose the one alternative that best completes the statement or answers the question. -Two angles q and r are complimentary. The angle s is supplementary to q. Write an equation showing the relationship between r and s.

Choose the one alternative that best completes the statement or answers the question. Decide whether the perimeter or area would be used to solve a problem concerning the measure of the quantity. -Measuring a room for baseboards

Choose the one alternative that best completes the statement or answers the question. Decide whether the perimeter or area would be used to solve a problem concerning the measure of the quantity. -Measuring a garden for tilling

Choose the one alternative that best completes the statement or answers the question. Decide whether the perimeter or area would be used to solve a problem concerning the measure of the quantity. -Measuring a garden for a border fence?

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given. -P = 2L + 2W; L = 7, W = 7

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given. -V = π\piπ r3; r = 4, π\piπ = 3.14

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given. -A = bh; b = 5, h = 6

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given. -D = rt; t = 7, d = 49

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given. -P = 2L + 2W; P = 18, W = 5

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given. -V = Bh; V = 12, h = 3

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given. -C = 2 π\piπ r; C = 12.56, π\piπ = 3.14

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given. -A = π\piπ r2; r = 8, π\piπ = 3.14

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given. -I = prt; I = 8.4, p = 210, r = 0.01

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given. -

Use a formula to solve the problem -What is the perimeter of a rectangle of length 10 ft and width 10 ft?

Use a formula to solve the problem -What is the area of a square with side 2.8 cm?

Use a formula to solve the problem -Find the area of a triangle with height 7 m and base 11 m.

Use a formula to solve the problem -A circle has a circumference of 46? meters. Find the radius of the circle.

Use a formula to solve the problem -A rectangular Persian carpet has a perimeter of 216 inches. The length of the carpet is 24 inches more than the width. What are the dimensions of the carpet?

Use a formula to solve the problem -A pie-shaped (triangular) lake-front lot has a perimeter of 2100 feet. One side is 400 feet longer than the shortest side, while the third side is 500 feet longer than the shortest side. Find the lengths of all three sides.

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given. -C = 2 $\pi$ r; C = 12.56, $\pi$ = 3.14

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given. -A = $\pi$ r²; r = 8, $\pi$ = 3.14