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Name _____________________ Date:_____________________
Solve the following problems
1. What is the product of -10 and +5? ____________
2. Add: -10 + 5 ____________
3. What is the quotient of -16 and -4? _____________
4. Subtract: -1 − -8 ______________
5. Calculate: |-6 × 2 + -4 × -3| ___________
6. Simplify the following expressions:
a) 4x + 5 + 2x ____________
b) -6x + 4z + -3x − 10z ____________
c) 10y − -2y − 3z − 9z − 6y ____________
d) x^{5} × y^{4} × x^{-7} × y^{10} ______________
e) x^{8} ÷ x^{2} ____________
f) (4x)^{3} _________________
g) (-5c)^{4} _________________
7. Which of the following expressions show the associative property?
A. 5 × 7 + 2 = 2 + 5 × 7 B. 5 + 7 = 7 + 5 C. (5 × 7) × 2 = 5 × (7 × 2) D. 2 + 7x
8. Which properties are illustrated by the following three expressions?
a) -1 × 7 + 2 = 2 + -1 × 7
b) 9 * 1 = 9
c) 4 × ( 2 + 6) = 4 × 2 + 4 × 6
A. Identity property of addition, distributive property, and commutative property of addition B. Identity property of addition, distributive property, and associative property of addition C. Identity property of multiplication, distributive property, and commutative property of addition D. Identity property of multiplication, distributive property, and commutative property of multiplication
9. Solve the following equations for x:
a) x − 2 = -7
b) x − -2 = -7
c) (2/3)x = 6
d) -2x + 5 = -11
e) ax + b = -e
10. Solve the following inequalities. Then graph a) on the number line
a) 3x - 2 > -11
b) x ≠ 5
c) -1 ≤ x < 4
d) -5f < -10
11.
Convert the following numbers into scientific notation:
a) 0.0000000000245 _______________
b) 890000000 ______________
12. Add the following polynomials:
a) 9z^{8} + 2z^{5} + 4z^{2} + 2 and 5z^{8} + -6z^{5} + -4z^{2} + -1z^{} + -8
b) z^{6} + 5z^{4} + -10z^{3} + -7 and -z^{6} + 8z^{4} + 4z^{3} − 8
13. Multiply the following polynomials and simplify
a ) 4x^{3}( 2x^{2} + x − 5) _______________
b) (4x^{3} + 4x )( 2x^{2} + x − 5)_________________
This algebra practice test is an attempt to measure most skills taught in algebra. Keep in mind that this algebra practice test is not an exhaustive list
However, if you can answer most question comfortably, you have definitely mastered most important skills taught in algebra.
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The solution will not only show you how to do the problems, but it will also teach you lots of important algebra concepts that will help you succeed in algebra.
Who should definitely master this algebra practice test:
You are about to take a test in algebra
You are trying to understand algebra
You struggle with algebra
You are about to take an algebra class and you want to prepare yourself to thrive
You are a student and you are about to take a state test like the MCAS and it is a requirement for graduation
You want to brush up your algebra skills
You have been trying to learn algebra and failed many times
Basically, anyone who needs a solid foundation in algebra needs this algebra practice test
Teachers!!! Use this algebra practice as a pre-test, as a test, or as a final exam!
This algebra practice test should take about 3 hours or 4 hours to complete