Deck 7: Introduction to Real Numbers and Algebraic Expressions

Question 1

Substitute to find the value of the expression.

-Traveling at $r$ kilometers per hour for $t$ hours, a driver will travel $r t$ kilometers. How far will Danny travel in 16 hours at a speed of 99 kilometers per hour?

A) $115 \mathrm{~km}$
B) $1584 \mathrm{~km}$
C) $6.2 \mathrm{~km}$
D) $1584 \mathrm{mi}$

Answer 1

$1584 \mathrm{~km}$

Question 2

Substitute to find the value of the expression.

-A plane flies at 582 miles per hour. The time, in hours, for the plane to travel a distance of $d$ miles is $\frac{\mathrm{d}}{582}$ . How long will it take for the plane to travel 5820 miles?

A) $10 \mathrm{hr}$
B) $0.10 \mathrm{hr}$
C) $13 \mathrm{hr}$
D) $3,387,240 \mathrm{hr}$

Answer 2

$10 \mathrm{hr}$

Question 3

Substitute to find the value of the expression.

-A train must cover a distance of 2520 miles. The velocity, in miles per hour, of the train is $\frac{2520}{t}$ where $t$ is the time, in hours, to complete the trip. If the train completes the trip in 28 hours, what is its velocity?

A) $70,560 \mathrm{mph}$
B) $0.01 \mathrm{mph}$
C) $90 \mathrm{mph}$
D) $85 \mathrm{mph}$

Answer 3

$90 \mathrm{mph}$

Question 4

Substitute to find the value of the expression.

-The area of a triangle with base $b$ and height $h$ is given by the formula $A=\frac{1}{2} b h$ . Find the area of $a$ triangle when the base is 1.1 centimeters and the height is 3.3 centimeters.

A) $0.17 \mathrm{~cm}^{2}$
B) $3.63 \mathrm{~cm}^{2}$
C) $1.815 \mathrm{~cm}^{2}$
D) $1.452 \mathrm{~cm}^{2}$

Question 5

Substitute to find the value of the expression.

-The area of a rectangle of length land width $w$ is given by the formula $A=$ lv. Ann's backyard is rectangular with a length of 24.2 yards and a width of 17.7 yards. Find the area of Ann's backyard.

A) $428.34 \mathrm{yd}^{2}$
B) $41.9 \mathrm{yd}^{2}$
C) $428.34 \mathrm{yd}$
D) $41.9 \mathrm{yd}$

Question 6

Substitute to find the value of the expression.

-In one store, bananas cost 60 cents per pound. The cost, in dollars, of $x$ pounds of bananas is $0.6 x$ . What is the cost of 1.8 pounds of bananas?

A) $\$ 1.08$
B) $\$ 0.30$
C) $\$ 1.28$
D) $\$ 3.00$

Question 7

Substitute to find the value of the expression.

-Bill takes four times as long to do a job as Jose. Suppose $t$ represents the time it takes Bill to do the job. Then $\mathrm{t} / 4$ represents the time it takes Jose. How long does it take Jose if it takes Bill 89 minutes?

A) $356.00 \mathrm{~min}$
B) $93.00 \mathrm{~min}$
C) $85.00 \mathrm{~min}$
D) $22.25 \mathrm{~min}$

Question 8

Substitute to find the value of the expression.

-Mary earns three times as much per week as Maureen. If $x$ represents the amount that Maureen earns per week, then $3 x$ represents the amount that Mary earns per week. How much does Mary earn per week if Maureen earns $\$ 346$ per week?

A) $\$ 115.33$
B) $\$ 349$
C) $\$ 1038$
D) $\$ 343$

Question 9

Evaluate.

- $x+y$ , when $x=2$ and $y=4$

A) -2
B) -6
C) 6
D) 8

Question 10

Evaluate.

- $4 x$ , when $x=4$

A) 22
B) 8
C) 72
D) 16

Question 11

Evaluate.

- $\frac{p}{q}$ , when $p=28$ and $q=4$

A) 7
B) $7 \frac{1}{4}$
C) 8
D) 6

Question 12

Evaluate.

- $\frac{9 m}{n}$ , when $m=12$ and $n=4$

A) 54
B) 3
C) 9
D) 27

Question 13

Evaluate.

- $\frac{x+y}{9}$ , when $x=11$ and $y=52$

A) 6
B) 5
C) 8
D) 7

Question 14

Evaluate.

- $\frac{6 x+8 y}{9}$ , when $x=72$ and $y=63$

A) 56
B) 104
C) 55
D) 936

Question 15

Translate the phrase to an algebraic expression.

-Eight multiplied by $x$

A) $8+x$
B) $\frac{8}{x}$
C) $8-x$
D) $8 x$

Question 16

Translate the phrase to an algebraic expression.

- $x$ increased by four

A) $4 x$
B) $x+4$
C) $x-4$
D) 4

Question 17

Translate the phrase to an algebraic expression.

-The sum of $x$ and $y$

A) $2 x y$
B) $x+y$
C) $x y$
D) $\frac{x}{y}$

Question 18

Translate to an algebraic expression.

-Robbie drove his car at $50 \mathrm{mph}$ for thours. How many miles did he travel?

A) $\frac{50}{t}$
B) $50 \mathrm{t}$
C) $50-\mathrm{t}$
D) $\frac{\mathrm{t}}{50}$

Question 19

Translate to an algebraic expression.

-Leanne had $\$ 27$ remaining after paying $x$ dollars for a dinner and a movie. How much did she have at the start of the evening?

A) $\$ 27 x$
B) $\$ 27-\mathrm{x}$
C) $\$ 27+x$
D) $x-\$ 27$

Question 20

Translate to an algebraic expression.

-Monica had $\$ 30$ before spending $x$ dollars for a snack. How much money remains?

A) $x-\$ 30$
B) $\$ 30+x$
C) $\$ 30 x$
D) $\$ 30-x$

Question 21

Translate to an algebraic expression.

-Alex had y dollars before spending $\$ 39.50$ for a book. How much did he have after the purchase?

A) $\$ 39.50-y$
B) y $-\$ 39.50$
C) $\$ 39.50+y$
D) $\$ 39.50 \mathrm{y}$

Question 22

State the real number that corresponds to the situation.

-The stock market gained 46 points on Monday.

A) 46
B) -46

Question 23

State the real number that corresponds to the situation.

-During one year, 25 employees started work at Newline Manufacturing Company.

A) -25
B) 25

Question 24

State the real number that corresponds to the situation.

-A football team lost 21 yards on one play.

A) -21
B) 21

Question 25

State the real number that corresponds to the situation.

-In one state, the highest point is 5234 feet above sea level.

A) -5234
B) 5234

Question 26

State the real number that corresponds to the situation.

-One country exported $\$ 88,500,000$ more than it imported, giving it a positive trade balance.

A) $-88,500,000$
B) $88,500,000$

Question 27

State the real number that corresponds to the situation.

-Sales at Andrea's Formal Wear Shop were $\$ 3300$ less this week than the sales last week.

A) 3300
B) -3300

Question 28

State the real number that corresponds to the situation.

-Mr. Voss increased his speed by 19 miles per hour.

A) -19
B) 19

Question 29

State the real number that corresponds to the situation.

-This year corn production increased 53,000 pounds from last year on Steve's farm.

A) 53,000
B) $-53,000$

Question 30

Graph the numbers on a number line.

- $1,3,5,7$

A)
B)
C)
D)

Question 31

Graph the numbers on a number line.

- $-11,-9,-7,-5$

A)
B)
C)
D)

Question 32

Graph the numbers on a number line.

- $-1 \frac{2}{3}, 1,3,5 \frac{2}{3}$

A)
B)
C)
D)

Question 33

Graph the numbers on a number line.

- $-5.75,-3,-1,1.25$

A)
B)
C)
D)

Question 34

Convert to decimal notation.

- $-\frac{1}{8}$

A) $-0.12 \overline{5}$
B) -0.125
C) $-0 . \overline{125}$
D) 0.125

Question 35

Convert to decimal notation.

- $\frac{3}{8}$

A) 1.125
B) 0.75
C) 0.33
D) 0.375

Question 36

Convert to decimal notation.

- $\frac{11}{6}$

A) $1.8 \overline{3}$
B) $1 . \overline{833}$
C) $1 . \overline{83}$
D) 1.8

Question 37

Convert to decimal notation.

- $-\frac{7}{4}$

A) -1.75
B) $-0 . \overline{175}$
C) -0.875
D) -0.175

Question 38

Convert to decimal notation.

- $\frac{17}{8}$

A) -2.125
B) 4.25
C) 2.125
D) 6.375

Question 39

Convert to decimal notation.

- $-\frac{13}{10}$

A) -2.6
B) $-1 . \overline{3}$
C) -1.3
D) -0.13

Question 40

Convert to decimal notation.

- $\frac{7}{15}$

A) 0.5
B) $0 . \overline{4}$
C) $0.4 \overline{6}$
D) $2.1 \overline{4}$

Question 41

Convert to decimal notation.

- $-\frac{13}{40}$

A) $-0.32 \overline{5}$
B) -0.325
C) -0.33
D) $-0.3 \overline{25}$

Question 42

Convert to decimal notation.

- $\frac{29}{99}$

A) $0.2 \overline{9}$
B) 0.29
C) $0 . \overline{292}$
D) $0 . \overline{29}$

Question 43

Insert $<$ or $>$ to write a true statement.

-4____0

A) $4<0$
B) $4>0$

Question 44

Insert $<$ or $>$ to write a true statement.

-0 ____ -4

A) 0-4
B) $0>-4$

Question 45

Insert $<$ or $>$ to write a true statement.

--10 ____ 0

A) $-10>0$
B) $-10<0$

Question 46

Insert $<$ or $>$ to write a true statement.

-8____9

A) $8>9$
B) $8<9$

Question 47

Insert $<$ or $>$ to write a true statement.

--67 ____ 38

A) $-67<38$
B) $-67>38$

Question 48

Insert $<$ or $>$ to write a true statement.

--98 ____-59

A) $-98<-59$
B) $-98>-59$

Question 49

Insert $<$ or $>$ to write a true statement.

-3.3 ____-8.2

A) $3.3>-8.2$
B) $3.3<-8.2$

Question 50

Insert $<$ or $>$ to write a true statement.

-0.125 ____-1.75

A) $0.125>-1.75$
B) $0.125<-1.75$

Question 51

Insert $<$ or $>$ to write a true statement.

-9.06____-9.06

A) $9.06<-9.06$
B) $9.06>-9.06$

Question 52

Insert $<$ or $>$ to write a true statement.

- $-\frac{5}{4}$ ____ $-\frac{3}{4}$

A) $-\frac{5}{4}>-\frac{3}{4}$
B) $-\frac{5}{4}<-\frac{3}{4}$

Question 53

Insert $<$ or $>$ to write a true statement.

--6 ____ $-\frac{7}{5}$

A) $-6>-\frac{7}{5}$
B) $-6<-\frac{7}{5}$

Question 54

Insert $<$ or $>$ to write a true statement.

- $\frac{16}{26}$ ____ $\frac{2}{3}$

A) $\frac{16}{26}<\frac{2}{3}$
B) $\frac{16}{26}>\frac{2}{3}$

Question 55

Write an inequality with the same meaning

- $20<44$

A) $44 \geq 20$
B) $44<20$
C) $20>44$
D) $44>20$

Question 56

Write an inequality with the same meaning

- $33 \geq 18$

A) $18 \geq 33$
B) $33 \leq 18$
C) $18 \leq 33$
D) $33>18$

Question 57

Write an inequality with the same meaning

- $17 \leq x$

A) $17 \geq x$
B) $x>17$
C) $x \geq 17$
D) $x \leq 17$

Question 58

Write an inequality with the same meaning

- $y>3$

A) $3>y$
B)
C) $y \geq 3$
D) $y<3$

Question 59

Determine whether the statement is true or false.

- $19 \leq 11$

Question 60

Determine whether the statement is true or false.

- $3 \geq 6$

Question 61

Determine whether the statement is true or false.

- $9 \leq 3$

Question 62

Determine whether the statement is true or false.

- $-19>-14$

Question 63

Determine whether the statement is true or false.

- $-25 \leq-16$

Question 64

Find the absolute value.

-| $14 \mid$

A) 0
B) 14
C) -14
D) 28

Question 65

Find the absolute value.

- $|-19|$

A) 0
B) -19
C) 38
D) 19

Question 66

Find the absolute value.

-| 415 |

A) 830
B) 415
C) 0
D) -415

Question 67

Find the absolute value.

- $|-20.6|$

A) 0
B) 41.2
C) 20.6
D) -20.6

Question 68

Find the absolute value.

-| -5.884 |

A) -5.884
B) -11.768
C) 5.884
D) 0

Question 69

Find the absolute value.

-| $-0.014 \mid$

A) 0.028
B) -0.014
C) 0.014
D) 0

Question 70

Find the absolute value.

- $\left|-\frac{1}{2}\right|$

A) 0
B) $\frac{1}{2}$
C) $-\frac{1}{2}$
D) 1

Question 71

Find the absolute value.

- $\left|\frac{0}{11}\right|$

A) 11
B) -11
C) 0
D) undefined

Question 72

Find the absolute value.

- $\left|\frac{1}{3}\right|$

A) $\frac{2}{3}$
B) $-\frac{1}{3}$
C) 0
D) $\frac{1}{3}$

Question 73

Find the absolute value.

- $\left|5 \frac{5}{8}\right|$

A) $-5 \frac{5}{8}$
B) $5 \frac{5}{8}$
C) 0
D) $10 \frac{5}{8}$

Question 74

Add. Do not use a number line except as a check.

- $3+(-5)$

A) -8
B) 8
C) -2
D) 2

Question 75

Add. Do not use a number line except as a check.

- $69+(-60)$

A) 9
B) -129
C) 129
D) -9

Question 76

Add. Do not use a number line except as a check.

- $-64+17$

A) 81
B) -47
C) 47
D) -81

Question 77

Add. Do not use a number line except as a check.

- $-60+0$

A) -600
B) -60
C) 60
D) 0

Question 78

Add. Do not use a number line except as a check.

- $-58+(-17)$

A) 75
B) -41
C) 41
D) -75

Question 79

Add. Do not use a number line except as a check.

- $6+(-61)$

A) -67
B) 55
C) -55
D) 67

Question 80

Add. Do not use a number line except as a check.

- $-12+(-78)+27+(-58)$

A) -97
B) -5
C) -175
D) -121