Name: ______________________
Class: _________________
Date: _________
ID: A
Cumulative Review Chapters 1-6
Identify the property shown.
1. 7(11 + 9) = 7 ⋅ 11 + 7 ⋅ 9
Evaluate the expression.
2. 36 − 52 ⋅ 2 + 7
3. (5x + y) ÷y when x = −2 and y = 5
Simplify the expression.
4. 5(x2 − 9x) − 2(3x + 4) + 7
Solve the equation.
5. 1.2x = 2.3x − 2.2
6. | 13 + 2x | = 5
Solve the equation for y.
7. 5x + y = 7
2
8. The formula for the volume of a cylinder is V = πr h. Solve the formula for h. How tall is a cylindrical
can with radius 3 centimeters and volume 200 cubic centimeters?
Solve the inequality.
9. 6 − x > 15
10. 8x < 1 or x − 9 > −5
11. | x + 3 | ≥ 4
Evaluate the function for the given value of x.
12. f(x) = 80 − 3x; f(5)
Write an equation of the line with the given characteristics.
13. slope:
1
, point: (–6, 2)
3
1
Name: ______________________
ID: A
14. points: (5, −7), (1, −3)
15. Write an equation of the line that passes through (1, 4) and is perpendicular to the line
y = −3x + 1.
Solve the system using any algebraic method.
16. 8x + 3y = −2
–5x + y = −3
17. Write y = x2 − 10x + 16 in intercept form and give the function's zeros.
Solve the equation by factoring.
18. 4x2 + 28x − 15 = 0
19. Simplify the radical expression
500 .
Solve the quadratic equation using any appropriate method.
20. 7x2 − 3 = 11
21. x2 + 4 = −32
22. m 2 + 8m = −3
Write the expression as a complex number in standard form.
23. (−4 + 2i) − (7 − 3i)
Simplify the expression.
Ê 3 2 ˆ −3
24. ÁÁÁÁ 8x y ˜˜˜˜
Ë

Perform the indicated operation.
Ê 2
ˆ
25. ( 2x − 3 ) ÁÁÁÁ 5x − x + 6 ˜˜˜˜
Ë

Factor the polynomial.
3
26. 64x + 343
3
2
27. Use technology to approximate the real zeros of f ( x) = 0.25x − 7x + 15.
2