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Draft Unit 1 Test: Evaluate & Simplify Expressions

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Last updated almost 2 years ago
29 questions
Note from the author:
A.1b Evaluate algebraic expressions for given replacement values of the variables.
A.2b Simplify polynomial expressions using addition and subtraction.

Students must show all work on a paper copy to receive full credit for each question.
A.1b Evaluate algebraic expressions for given replacement values of the variables.
A.2b Simplify polynomial expressions using addition and subtraction.

Students must show all work on a paper copy to receive full credit for each question.
Section A: Vocabulary
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Section B - Simplify each expression. Mark your like terms the way we practiced. Show the distributive step and any other work in the blank area. Put the final, simplified answer on the line.
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Section C - Evaluate each expression for the given replacement values of the variables. Be sure to show the substitution step. Remember that word problems and problems that tell you to round should be given as decimals. For all others, convert decimals to fractions if needed.
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Question 1
1.
Write the coefficient of each term in the provided box.

a) 5x^2 _______ b) c _______

c) -7ab _______ d) -y^3 _______
Question 2
2.

Define the phrase LIKE TERMS.

Question 3
3.

13 – 7x + 5 + x

Question 4
4.

17b^{3} – 5b^2 –8b^3 – 7b^2

Question 5
5.

19c + 2d – 8c – 7d

Question 6
6.

5 – 9(y – 4)

Question 7
7.

2 – (7n – 8) – 3n

Question 8
8.

2 – 9(-2c – 4) + 8c

Question 9
9.

\frac{4}{7}(-56a + 63b)

Question 10
10.

7a – 3 –11a + 2+ 4a – 7

Question 11
11.

–4(5c – 3d) + 4(-7c + d)

Question 12
12.

4x – \frac{1}{3}(-36x + 39) – 3x

Question 13
13.

Show your work and then circle the answer.

2(8a + 2b) + 5(-7a + 6b)

Question 14
14.

Show your work and then circle the answer.

3a + 4b – 7a + b

Question 15
15.

Show your work and then circle the answer.

2x - 8(x + 7) + 6x

Question 16
16.

Question 17
17.

Question 18
18.

x^{2}+y; for the ordered pair \left(-\frac{4}{9},6\right).

Question 19
19.

Question 20
20.

\frac{z-4x}{xz-yz}; x=3, y=2, z=-4

Question 21
21.

\frac{-5-3x^2}{2\left(x-4\right)^3} ; x=-3

Question 22
22.

Find the Interest on a loan: I = Prt if P = 4000, r = 11%, t = 2

Question 23
23.

The formula to find the perimeter of a rectangle is P = 2(L + W). If the length is 17 feet and the width is 12 feet, then find the perimeter.

Question 24
24.

l=\frac{P-2w}{2} enables you to find the length of a rectangle if you are given the perimeter P and the width, w. Find the length of the rectangle if P = 80 and w = 11.5.

Question 25
25.

4\sqrt[3]{y+5}-3; y=724

Question 26
26.

Question 27
27.

\left|a-b\right|+\sqrt[3]{c+8}; a=-6, b=8, c=117

Question 28
28.

Question 29
29.

Show substitution and then round your answer to the nearest hundredth.
\sqrt{x}+2\sqrt[3]{y}-z^3 ; x=121, y=61, z=-7