Solving One-Step Equations, Solving two-Step Equations, Inequalities

Question 1

What is the first step in solving the equation x + 5 = 12?

Answer 1

Subtract 5 from both sides.

Question 2

True or False: The equation 3x = 15 can be solved by dividing both sides by 3.

Answer 2

True

Question 3

Fill in the blank: To isolate the variable in the equation x - 7 = 10, you should _____ 7 from both sides.

Answer 3

add

Question 4

What is the solution to the equation 2x = 10?

Answer 4

x = 5

Question 5

How do you solve the equation x/4 = 3?

Answer 5

Multiply both sides by 4.

Question 6

What is the first step in solving the two-step equation 2x + 3 = 11?

Answer 6

Subtract 3 from both sides.

Question 7

True or False: In the equation 5x - 2 = 18, you should first add 2 to both sides.

Answer 7

True

Question 8

What is the value of x in the equation 3(x + 2) = 15?

Answer 8

x = 3

Question 9

Which method can be used to solve the inequality 2x - 4 < 6?

Answer 9

Add 4 to both sides, then divide by 2.

Question 10

Fill in the blank: The solution to an inequality is often represented on a _____ line.

Answer 10

number

Question 11

What does it mean if the inequality x + 4 > 10 is true?

Answer 11

x is greater than 6.

Question 12

How do you express the solution set of the inequality x - 5 ≤ 3?

Answer 12

x ≤ 8

Question 13

True or False: When multiplying or dividing both sides of an inequality by a negative number, you must reverse the inequality sign.

Answer 13

True

Question 14

What is the solution to the equation 4x + 8 = 24?

Answer 14

x = 4

Question 15

What is the first step in solving the two-step equation 7x - 9 = 20?

Answer 15

Add 9 to both sides.

Question 16

What is the solution for x in the equation x/3 + 2 = 5?

Answer 16

x = 9

Question 17

Fill in the blank: The inequality x + 1 < 5 can be solved by _____ 1 from both sides.

Answer 17

subtracting

Question 18

What does the solution to the inequality x - 3 > 2 represent?

Answer 18

x > 5

Question 19

What is the solution to the equation -2x + 6 = 0?

Answer 19

x = 3

Question 20

True or False: The equation 8 = 2x + 4 has one solution.

Answer 20

True

Question 21

How do you solve the equation 5(x - 2) = 15?

Answer 21

Add 2, then divide by 5.

Question 22

What does it mean if x < 3 in terms of a number line?

Answer 22

x is to the left of 3.

Question 23

Fill in the blank: The solution to the equation 6x - 12 = 0 is _____ .

Answer 23

x = 2

Question 24

What is the first step to solve the inequality 3x + 5 ≥ 14?

Answer 24

Subtract 5 from both sides.

Question 25

What is the solution set for the inequality x + 2 < 4?

Answer 25

x < 2