Study Guide: 2.1: 1-Step Equations

Study Guide: 2.1: 1-Step Equations

How can you solve 1-Step Equations using inverse operations?

Multiple Choice

What is the inverse of adding?

• Dividing

• Multiplying

• Adding

• Subtracting

Multiple Choice

q + 8 = 12

• q = 5

• q = 4

• q = 2

• q = 5

Multiple Choice

j + 68 = 100

• j = 78

• j = 1

• j = 45

• j = 32

Multiple Choice

x + 13 = 15

• x = 2

• x = 5

• x = 0

• x = 1

Multiple Choice

x + 2 = 10

• x = 12

• x = 10

• x = 2

• x = 8

Multiple Choice

What is the inverse of subtraction?

• Dividing
• Multiplying
• Adding
• Subtracting

Multiple Choice

x - 12 = 24

• x = -12

• x = 36

• x = 12

• x = 0

Multiple Choice

x - 8 = 5

• x = 13

• x = -3

• x = -8

• x = -13

Multiple Choice

14 = x - 5

• x = -19

• x = 5

• x = 19

• x = 9

Multiple Choice

-2 + x = 15

• x = 15

• x = 17

• x = -2

• x = 13

Multiple Choice

What is the inverse operation of multiplication?

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

3x = -15

• x = -18

• x = -5

• x = 5

• x = 12

Multiple Choice

-10z = 40

• z = 50

• z = 30

• z = -4

• z = 4

Multiple Choice

9n = -9

• x = 0

• x = -1

• x = -81

• x = -18

Multiple Choice

3x = 27.

• x = 24

• x = 81

• x = 9

• x = 6

Multiple Choice

What is the inverse operation of division?

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

 $\frac{c}{16}=2$  

• c = 1

• c = 2

• c = 32

• c = 18

Multiple Choice

 $\frac{r}{4}=13$  

• r = 17

• r = 52

• r = 27

• r = 9

Multiple Choice

 $11\ =\frac{m}{5}$  

• m = 5

• m = 1/5

• m = 25

• m = 55

Multiple Choice

 $\frac{x}{-11}=-2$  

• x = -13

• x = 5.5

• x = 22

• x = -22

Multiple Choice

 $\frac{1}{4\ }x=\ -24$  

• x = -6

• x = 96

• x = 6

• x = 8

Multiple Choice

 $\frac{2}{3\ }x=6$  

• x = 2

• x = 3

• x = 12 

• x = 4

Multiple Choice

 $16\ =\frac{1}{4}x$  

• x = 4

• x = 64

• x = 8

• x = 12

Multiple Choice

 $\frac{1}{8\ }x=\ \frac{3}{4}$  

• x =  $\frac{3}{32}$  

• x = 12

• x = 6

• x = 8

Multiple Choice

 $\frac{2}{5\ }x=\frac{10}{3}$  

• x =  $\frac{25}{3}$  

• x =   $\frac{20}{15}$  

• x = 12

• x =  $\frac{12}{8}$  

Multiple Choice

Andrew has saved $55 toward the purchase of an Air Pods. The Air Pods costs $145. Which equation represents the amount Andrew needs to save to by the Air Pods?

• 55 + x = 145

• 145x = 55

• 55 - x = 145

• 145 (55) = x

Multiple Choice

Jenny just purchased a new car. Each month her car payment is $250. Her car will be paid off after 60 payments. How much does her car cost?

• $\frac{60}{x}=\ 250$

  
  

• 250x = 60

• $\frac{250}{x}=\ 60$

• $\frac{x}{60}=250$

Multiple Choice

Jalen's employer has $18.00 to spend on tape measures for his crew. How many can he buy with that amount if each tape measure costs $4.50?

• 4.50x = 18

• 18/04.50 = x

• 18x = 4.50

• 4.50(18) = x

Multiple Choice

Saucy is cooking muffins. The recipe calls for 7 cups of sugar. She has already put in 2 cups. How many more cups does she need?

• 7 + 2 = x

• x = 2 + 7

• 2(7) = x

• 2 + x = 7

Multiple Choice

A land surveyor must partition a distance of 2,600 feet into 40 identical parts. Each part will represent what number of feet? Let f be the number of feet in each part.

• 40f = 2,600
• f = 40 ÷ 2,600
• 2,600f = 40
• f = 2,600 − 40