7th Grade Unit 3 Test FWCS
  • 1. Simplify. 12x + 9 – 3x – 4 Do not use spaces
A) 9x+5
B) 5+9x
  • 2. Simplify. 3(x – 4) + 5x Do not use spaces
A) 8x-12
B) -12+8x
  • 3. Simplify. 6(-2.1k - 2) + (7k + 5) Do not use spaces
A) -5.6k-7
B) -7-5.6k
  • 4. Simplify. 2/3 (6c + 4) - (8c - 5) Do not use spaces. If you get a fraction, leave as an improper fraction
A) -4c+23/3
B) 23/3-4c
  • 5. (2m + 7) – (3 – 4m) Choose all that apply.
A) -2m + 4
B) 6m + 4
C) 6m – 4
D) 6m + 11
E) 2m + 4 + 4m
  • 6. Factor. 2d + 6 Do not use spaces
  • 7. Factor. -3.6x – 3.6 Do not use spaces
  • 8. Solve. x+4 1/3=-2 5/6 Above are both mixed number. If the answer is a mixed number put a space between the whole number and the fraction.
  • 9. Solve. -2p=4/11
  • 10. Solve. 3 less than a number h is -12 h = ______
  • 11. The perimeter of the polygon is 27.4 cm. Find the unknown side length. x = ______
  • 12. Write an expression in simplest form, given the figure
A) 12+11x
B) 11x + 12
C) 11x+12
D) 12 + 11x
  • 13. Write an expression in simplest form that represents the area of the picture frame.
A) 150+40x
B) 150 + 40x
C) 40x + 150
D) 40x+150
  • 14. An egg carton holds 12 eggs. A breakfast buffet uses 96 eggs by 8 a.m. When the buffet ends at 10:30 a.m., a total of 156 eggs were used. How many cartons of eggs were used after 8 a.m.?
A) 5 cartons
B) 5
C) 5cartons
  • 15. Which of the following equations is equivalent to the equation -5(3x-8)=-45
A) -15x+8=-45
B) -15x-8=-45
C) -15x+40=-45
D) -15x-40=-45
  • 16. For which values of a and b is the following statement not true? |a| - |b| = -5
A) a=-2, b=-7
B) a=7, b=2
C) a=-3, b=8
D) a=3, b=8
  • 17. Solve. 3(1 – 3m) + 2(3.5m + 1) = 11
A) m = -3
B) -3
C) m=-3
  • 18. Solve. 1/2 (8 – 6y) + 1/5(10y – 25) = 6
A) -7
B) y = -7
C) y=-7
  • 19. Solve. (4a – 5) – 8(2.5a + 3) = -77
A) 3
B) a = 3
C) a=3
  • 20. Write a formula for the area of the shaded region in simplest terms of x.
A) 16 + 4x
B) 16+4x
C) 4x + 16
D) 4x+16
  • 21. If the area of the outside box is 80 in2 in the previous questions, what is the length of the long side of the rectangle?
A) 21 in.
B) 21in.
C) 21
D) 21in
E) 21 in
  • 22. Solve. |x|+3=14 Use commas to separate answers
A) 11,-11
B) -11,11
C) 11, -11
D) -11, 11
  • 23. Which best describes the error in finding the solution?
A) Each side should be divided by −3, not 3
B) Each side should be divided by 2, not 3
C) −7 minus 2 is −5, not −9
D) The first step should have been to divide each side by −3
  • 24. The correct answer should be what?
  • 25. You and 3 friends are going to the County Fair. You have a coupon that will save your group $20. The total bill to get into the Fair was $100. Write an equation where t represents the cost per ticket. Solve the equation.
A) -20+4t=100
B) 4t-20=100
C) 4t - 20 = 100
D) -20 + 4t = 100
  • 26. You and 3 friends are going to the County Fair. You have a coupon that will save your group $20. The total bill, after using the coupon, to get into the Fair was $100. How much is each ticket.
A) $30
B) 30.00
C) 30
D) $ 30
E) $30.00
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