Two-Step Equations and Graphing for Grade 7 Mastery

1. Solve the equation: 3x + 5 = 20. What is the value of x?

• 15

• 10

• 5

• 3

2. A store sells notebooks for $2 each and pens for $1 each. If you buy 3 notebooks and 4 pens for a total of $10, write and solve the equation to find how much you spent on notebooks.

• 5

• 6

• 7

• 8

3. Graph the equation y = 2x + 3. What is the y-intercept?

• 3

• 1

• 2

• 4

4. If 5 less than twice a number is 15, what is the number? Write the equation and solve it.

• 10

• 5

• 7

• 12

5. A rectangle has a length that is 3 more than twice its width. If the perimeter is 36, write and solve the equation to find the width.

• 4

• 5

• 6

• 8

6. Solve for y in the equation: 4y - 7 = 9. What is the value of y?

• 4

• -1

• 6

• 2

7. The sum of a number and 12 is equal to 30. Write the equation and find the number.

• 20

• 15

• 18

• 25

8. Graph the equation x + 4y = 12. What are the x and y intercepts?

• x-intercept: (12, 0), y-intercept: (0, 3)

• x-intercept: (6, 0), y-intercept: (0, 2)

• x-intercept: (0, 12), y-intercept: (3, 0)

• x-intercept: (4, 0), y-intercept: (0, 4)

9. If a number is multiplied by 3 and then decreased by 4, the result is 11. Write and solve the equation to find the number.

• 2

• 10

• 5

• 7

10. A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer pays $70, how many miles did they drive? Write and solve the equation.

• 100 miles

• 200 miles

• 50 miles

• 150 miles