Deck 10: Signed Numbers

Question 1

Work each of the following problems.

-Graph the numbers $-6,-4 \frac{1}{2},-\frac{1}{2}, 2,4 \frac{2}{3}$ on the number line.

Answer 1

Question 2

Work each of the following problems.
-Place $<$ or $>$ in each blank to make a true statement.
$-5$ _______ $-1 \quad 0$ ______ $-1$

Answer 2

<; >

Question 3

Find:
a. $|12|$
b. $|-3|$

Answer 3

12; 3

Question 4

Add, subtract, multiply, or divide.
- $-8+3$

Question 5

Add, subtract, multiply, or divide.
- $-2+(-7)$

Question 6

Add, subtract, multiply, or divide.
- $4-12$

Question 7

Add, subtract, multiply, or divide.
- $4-(-1)$

Question 8

Add, subtract, multiply, or divide.
- $7(-8)$

Question 9

Add, subtract, multiply, or divide.
- $-3(-7)$

Question 10

Add, subtract, multiply, or divide.
- $-5 \cdot 0$

Question 11

Add, subtract, multiply, or divide.
- $2.3+(-5.7)$

Question 12

Add, subtract, multiply, or divide.
- $\frac{91}{-7}$

Question 13

Add, subtract, multiply, or divide.
- $\frac{-28}{-4}$

Question 14

Add, subtract, multiply, or divide.
- $-\frac{3}{4}-\left(-\frac{1}{2}\right)$

Question 15

Add, subtract, multiply, or divide.
- $-\frac{3}{5} \div \frac{9}{10}$

Question 16

Use the order of operations to simplify each expression.
- $-2 \cdot 3+(4-9)^{2}-(-9)$

Question 17

Use the order of operations to simplify each expression.
- $2-5 \cdot(-4)-(3-5)$

Question 18

Find the value of $5 a-3 b$ given each set of values.
- $a=4, b=-2$

Question 19

Find the value of $5 a-3 b$ given each set of values.
- $a=-8, b=-5$

Question 20

Find the value of $5 a-3 b$ given each set of values.
-Find the value of $-2 x^{2}$ , if $x=-3$

Question 21

Find the value of $5 a-3 b$ given each set of values.
-The formula for the perimeter of a rectangle is $P=2 l+2 w$ . Find $P$ if $l=10$ and $w=6$ .

Question 22

Solve each equation.
- $g-5=-13$

Question 23

Solve each equation.
- $-12=9-x$

Question 24

Solve each equation.
- $-4 x=-12$

Question 25

Solve each equation.
- $10 y-5-6 y=7$

Question 26

Solve each equation.
- $2 x-5=7 x-15$

Question 27

Solve each equation.
- $5-3(x-1)=20$

Question 28

Solve each application problem using the six problem-solving steps.
-A 40-inch wire is cut into two pieces. If one piece is 14 inches longer than the other, how long is each piece?

Question 29

Solve each application problem using the six problem-solving steps.
-The perimeter of a rectangular window is 18 feet. The length is twice as long as the width. Find the dimensions of the window.

Question 30

Solve each application problem using the six problem-solving steps.
-Ron spent $\$ 8$ less than twice what Tim spent. If Ron spent $\$ 24$ , how much did Tim spend?

Question 31

Work each of the following problems.

-Graph the numbers $-4,-\frac{1}{2}, 0,1 \frac{1}{3}, 4$ on the number line.

Question 32

Work each of the following problems.
-Place $<$ or $>$ in each blank to make a true statement.
$-2 \_-6 \quad-1 \_0$

Question 33

Work each of the following problems.
-Find:
a. $|-5|$
b. $|22|$

Question 34

Add, subtract, multiply, or divide.
- $-8+2$

Question 35

Add, subtract, multiply, or divide.
- $-11 \div 0$

Question 36

Add, subtract, multiply, or divide.
- $2-10$

Question 37

Add, subtract, multiply, or divide.
- $2-(-8)$

Question 38

Add, subtract, multiply, or divide.
- $6(-3)$

Question 39

Add, subtract, multiply, or divide.
- $-8(-6)$

Question 40

Add, subtract, multiply, or divide.
- $-3 \cdot 0$

Question 41

Add, subtract, multiply, or divide.
- $5.7+(-8.2)$

Question 42

Add, subtract, multiply, or divide.
- $\frac{-96}{12}$

Question 43

Add, subtract, multiply, or divide.
- $\frac{-27}{-3}$

Question 44

Add, subtract, multiply, or divide.
- $-\frac{5}{6}-\left(-\frac{5}{3}\right)$

Question 45

Add, subtract, multiply, or divide.
- $-\frac{4}{5} \div \frac{8}{15}$

Question 46

Use the order of operations to simplify each expression.
- $(2-4)^{2}-(-3) \cdot 5+(-8)$

Question 47

Use the order of operations to simplify each expression.
- $-4-(-3)^{2}-(5-8)$

Question 48

Find the value of $2 c-7 d$ given each set of values.
- $c=3, d=-5$

Question 49

Find the value of $2 c-7 d$ given each set of values.
- $c=-3, d=-5$

Question 50

Find the value of $2 c-7 d$ given each set of values.
-Find the value of $-5 y^{2}$ , if $y=-2$

Question 51

Find the value of $2 c-7 d$ given each set of values.
-The formula for area of a square is $A=s^{2}$ . Find $A$ , if $s=16$

Question 52

Solve each equation.
- $m-3=-5$

Question 53

Solve each equation.
- $-6=10-x$

Question 54

Solve each equation.
- $\frac{k}{6}=-3$

Question 55

Solve each equation.
- $8 z-2-4 z=10$

Question 56

Solve each equation.
- $9 a-11=13 a-3$

Question 57

Solve each equation.
- $6-2(x-5)=4$

Question 58

Solve each application problem using the six problem-solving steps.
-A 46-inch rope is cut into two pieces. If one piece is 14 inches longer than the other, how long is each piece?

Question 59

Solve each application problem using the six problem-solving steps.
-The perimeter of a reflecting pool plot is 40 feet. The length is three times as long as the width. Find the dimensions of the pool.

Question 60

Solve each application problem using the six problem-solving steps.
-Terri spent $\$ 7$ more than twice what Katlyn spent. If Terri spent $\$ 35$ , how much did Katlyn spend?

Question 61

Work each of the following problems.
-Graph the numbers $-5,-1 \frac{1}{2},-\frac{2}{3}, 1,3$ on the number line.

Question 62

Work each of the following problems.
-Place $<$ or $>$ in each blank to make a true statement.
$-6 \_-2 \quad 0 \_\_-3$

Question 63

Work each of the following problems.
-Find:
a. $|0|$
b. $|-7|$

Question 64

Add, subtract, multiply, or divide.
- $-7+4$

Question 65

Add, subtract, multiply, or divide.
- $-5+(-7)$

Question 66

Add, subtract, multiply, or divide.
- $2-(-8)$

Question 67

Add, subtract, multiply, or divide.
- $5-(-8)$

Question 68

Add, subtract, multiply, or divide.
- $6(-3)$

Question 69

Add, subtract, multiply, or divide.
- $-11(-6)$

Question 70

Add, subtract, multiply, or divide.
- $-14 \cdot 0$

Question 71

Add, subtract, multiply, or divide.
- $1.9+(-8.6)$

Question 72

Add, subtract, multiply, or divide.
- $\frac{72}{-8}$

Question 73

Add, subtract, multiply, or divide.
- $\frac{-48}{-6}$

Question 74

Add, subtract, multiply, or divide.
- $-\frac{2}{3}-\left(-\frac{5}{6}\right)$

Question 75

Add, subtract, multiply, or divide.
- $-\frac{5}{8} \div \frac{3}{4}$

Question 76

Use the order of operations to simplify each expression.
- $6-(-3)^{2}+(4-8)+(-5)$

Question 77

Use the order of operations to simplify each expression.
- $-3-(2-7)+(3-4)^{2}$

Question 78

Find the value of $5 k-3 m$ given each set of values.
- $k=5, m=-2$

Question 79

Find the value of $5 k-3 m$ given each set of values.
- $k=-2, m=-6$

Question 80

Find the value of $-2 z^{2}$ , if $z=-1$