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7th Grade Mathematics Final Exam
1.

Solve for xx: 3x+7=223x + 7 = 22.

Select one option
2.

Which inequality represents "A number nn is at least 15"?

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3.

If f(x)=2x3f(x) = 2x - 3, what is f(5)f(5)?

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4.

A rectangle has a length of 8 units and a width of 4 units. What is its area?

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5.

Solve for yy: y25=1\frac{y}{2} - 5 = 1.

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6.

Which value is a solution to the inequality 4x+2>104x + 2 > 10?

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7.

Which table represents a function?

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8.

Two angles are complementary. If one angle measures 3535^\circ, what is the measure of the other angle?

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9.

Solve for zz: 2(z3)=142(z - 3) = 14.

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10.

What is the volume of a rectangular prism with length 5 cm, width 3 cm, and height 2 cm?

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11.

Solve for xx: 4x+9=11-4x + 9 = -11. Show your steps.

12.

Solve the inequality 2x372x - 3 \le 7 and graph the solution on a number line.

13.

Given the function g(t)=3t+8g(t) = -3t + 8, find g(2)g(-2) and g(4)g(4). Show your work.

14.

Calculate the area of a triangle with a base of 10 cm and a height of 8 cm. Show your work.

15.

A rectangle has a length of (3x+5)(3x + 5) units and a width of (x2)(x - 2) units. Write an expression for the perimeter of the rectangle in simplest form. Show your work.

16.

Sarah bought a book for 12and3pens.Ifhertotalbillwas12 and 3 pens. If her total bill was 27, how much did each pen cost? Set up an equation and solve.

17.

A taxi ride costs a flat fee of 3plus3 plus 2.50 per mile. If John has $20 to spend on a taxi ride, what is the maximum number of miles he can travel? Set up an inequality and solve.

18.

A plumber charges a service fee of 50plus50 plus 30 per hour for labor. a) Write a function C(h)C(h) that represents the total cost for hh hours of labor. b) How much would it cost for 3.5 hours of labor? Show your work.

19.

Mr. Smith wants to build a rectangular garden with a length of 15 feet and a width of 8 feet. He wants to put a fence around the entire garden. How many feet of fencing will he need? If fencing costs $3 per foot, how much will it cost him in total?

20.

Emily bought 5 notebooks and a calculator. The calculator cost 15.Ifshespentatotalof15. If she spent a total of 35, what was the cost of each notebook?

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