Name:
Date:
Period:
Equations Test Review
Honors Math 7
Solve the following equations. Show your work!
1.
𝑚 − 4 = 2𝑚
2.
3𝑘 − 1 = 7𝑘 + 2
4.
24𝑎 − 22 = −4(1 − 6𝑎)
5.
2(4𝑧 − 1) = 3(𝑧 + 2)
7. 12 = −4(−6𝑥 − 3)
Find the perimeter of the triangle.
The triangle is equilateral.
10.
8. −2𝑥 − 42 = 13
3.
−2(𝑥 + 3) = −2𝑥 − 6
6.
3x  2
8
5
9.
𝑥
2
− 17 = −15
11. Describe and correct the error in solving the equation.
12. A rectangle has a length of x  4 centimeters and a width of x centimeters. If the perimeter of the rectangle is 28
centimeters, what is the length? (It might be helpful to draw a diagram.)
a. 4 cm
c.
5 cm
b. 8 cm
d.
9 cm
First, write an equation to model the statements below. Then solve the equation. Show all your work!
13. It costs a total of $120 to take 8 swimming lessons. If each lesson costs the same amount, how much is each lesson?
Equation: ___________________________
Solution: ______________
14. You went to the grocery store and bought Skittles for $3.25 and two packs of gum. Your friend bought two Lollypops that were
$0.75 each and three packs of gum. You both spent the same amount of money. How much is one pack of gum
Equation: ___________________________
Solution: ______________
Use the x-intercept and the y-intercept to graph each equation:
x  2 y  6
15.
x-int
y-int
16.
1
x2 y
2
x-int
17.
y-int
 x  2y  4
x-int
y-int
Use the slope and y-intercept to graph the equation.
18. y = 2x + 3
19. y = ½x – 4
20. y = –x + 5
21. 𝑦 = − 3 𝑥 − 2
4
Convert each equation into slope-intercept form, then identify the y-intercept and slope. Then graph each equation
on the x-y coordinate grids provided.
22. 2x + 3y = 15
Y-Int:
Slope:
23. -4x + 5y = 18
Y-Int:
Slope: