Post Algebra Readiness Test – End of 7th Grade

Do Not Use Calculators

1. Write the phrase as an algebric expression using n.

The quotient of 7 and (4 less than a number).

2. Evaluate the expression when a = 3, b = 4, c = -10.

2a 3 – (c + b)

3-4. Evaluate the expression. Write your answer in simplest terms.

3. 8 ÷ 1

4. 5.60 ÷ (-.7)

5. Write the fraction as a decimal and as a percent.

6. Find the percent of the number.

65% of 300

7. Order the numbers from least to greatest.

7/8, -2.05, 2/9, 1/4, 0.75

8. Identify the property illustrated.

3(-4y) = (-4y)3

9- 11. Simplify the expression.

9. a3 * a

10. – – 8

11. 4b/2b

12. Find the exact value of the radical. Leave in radical form.

13. In a right triangle a = 5, b = 12.

Find the length of the hypotenuse, c.

14. Determine if the triangle with the given sides is a right triangle.

20, 25, 15

15 – 16. Solve the equation. Reduce.

15. t =

16. 1.4 m – 4 = – 1.2

17. Solve the inequality and graph the solution.

-6 n < 30 18. Rewrite the equation in slope – intercept form. Then identify the slope and y – intercept of the line. 5x – 3y = 9 19. Find the slope of the line through the given points. (-4, 5), (0 ,- 1) 20-21. Graph the equation and solve for the x and y intercepts. 20. x –y = 6 21. x = 3 22. If y varies directly as x, write an equation that relates x and y. x = 7 y = -28 23. What is the perimeter of the figure formed by these four lines. x = 5, x = -3, y = -7, y = -3 24. Jane has pounds of candy. Bob has 3.3 pounds, and Andy has 3 pounds of candy. Who has the least? 25. A box contains 60 coins. are pennies, are nickels, and the rest are dimes. What is the value of the dimes? 26. Write three-hundred fifty million in standard form, and in scientific notation. 27. A sweat shirt costs $20.98 + 8% tax. How much money will you get back out of $30.00? 28. The following lengths were measured. What is the mean average? 2’ 6”, 1’ 9”, 7’ 4”, 3’ 5” 29. A car travels 15 miles in 20 minutes. At the same rate how far will it travel in 4 hours? 30. A square tile has an area of 121 square inches. What is the measure of the side length? 31. Evaluate: 4 – (6 ÷ 2) 3 – 5 • 2 32. 7d – 10 = 2 + 3d 33. How much money needs to be deposited at 5% simple interest for 2 years to earn a total of $300.00? 34. Which solid has the greater volume? (a) (b) 35. Find the area of the trapezoid with a triangular hole.

Post Algebra Readiness Key

1.
2. 60
3. 6
4. -8
5. .625
62.5%
6. 195
7. -2.05, , , 0.75,
8. Commutative
9. a or
10. -8
11. 2b or
12. 5
13. 13
14. yes
15. 10 ½
16. 2
17. n > -5
18. -3
19. =
20.
21.
22. y = -4 x
23. 24 units
24. Jane
25. $2.30
26. 350,000,000
3.5 •10
27. $7.34
28. 3’9” or 3.75 ft.
29. 180 mi
30. 11 in
31. -15
32. 3
33. $3,000.00
34. (a)
35. 48 cm

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