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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 x2 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: