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Grade 7 Mathematics Mid-Term Exam
1.

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

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2.

Which inequality represents 'a number nn is at most 10'?

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3.

If f(x)=2x1f(x) = 2x - 1, what is f(4)f(4)?

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4.

What is the sum of the interior angles of a triangle?

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5.

Which operation should be performed first to solve 5+2x=155 + 2x = 15?

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6.

Which number is a solution to the inequality x3>5x - 3 > 5?

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7.

A function machine takes an input xx and outputs 3x+23x + 2. If the input is 5, what is the output?

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8.

An angle measuring 95exto95^ ext{o} is classified as:

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9.

Solve for yy: 4y6=184y - 6 = 18.

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10.

Which graph represents x<2x < -2?

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11.

Consider the function y=x2+1y = x^2 + 1. If x=3x = -3, what is yy?

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12.

What is the formula for the perimeter of a rectangle with length LL and width WW?

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13.

Sarah bought 3 notebooks for a total of 12.Ifeachnotebookcostthesameamount,whichequationrepresentsthecost12. If each notebook cost the same amount, which equation represents the cost c$ of one notebook?

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14.

To pass a test, students must score at least 70 points. If ss represents the score, which inequality shows the passing condition?

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15.

For the function y=5xy = 5x, what is the output when the input is 0?

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16.

Solve the equation 5x8=175x - 8 = 17 and verify your solution.

17.

Solve the inequality x+4<9x + 4 < 9 and graph the solution on a number line.

18.

For the function h(t)=3t+10h(t) = -3t + 10, find h(2)h(-2).

Figure for Question 19
6 units 4 units 3 units Figure for Question 19
19.

Calculate the total area of the figure shown below. All dimensions are in units.

20.

Solve for mm: 7m10=3m+67m - 10 = 3m + 6.

21.

Solve the inequality 2x+5riangleg172x + 5 riangleg 17.

22.

Create a table of at least 5 values for the function y=x/2+3y = x/2 + 3 and briefly describe how you would plot these points on a coordinate plane.

23.

Jessica bought 4 comic books. She had a coupon for 5offhertotalpurchase.Ifshepaidatotalof5 off her total purchase. If she paid a total of 23, how much did each comic book cost?

24.

Mario has 50tospendatthemall.Hebuysashirtfor50 to spend at the mall. He buys a shirt for 18. If he wants to buy at least 3 books with the remaining money, what is the maximum amount he can spend on each book?

25.

A phone company charges a base fee of 0.50foreachcallplus0.50 for each call plus 0.15 per minute. Write a function to represent the total cost CC of a call lasting tt minutes. Then, use your function to calculate the cost of a 30-minute call.

26.

Mr. Smith wants to fence his rectangular garden. The garden is 12 feet long and 8 feet wide. If the fencing costs $3 per foot, how much will it cost to fence the entire garden?

27.

The perimeter of a triangle is 40 cm. The longest side is twice the length of the shortest side. The third side is 10 cm. Find the lengths of all three sides of the triangle.

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