Draft Unit 1 Test: Evaluate & Simplify Expressions
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Last updated over 1 year 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
Required
1
Write the coefficient of each term in the provided box.
a) 5x^2 _______ b) c _______
c) -7ab _______ d) -y^3 _______
Required
1
Define the phrase LIKE TERMS.
Define the phrase LIKE TERMS.
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.
Required
1
13 – 7x + 5 + x
13 – 7x + 5 + x
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1
17b^{3} – 5b^2 –8b^3 – 7b^2
17b^{3} – 5b^2 –8b^3 – 7b^2
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1
19c + 2d – 8c – 7d
19c + 2d – 8c – 7d
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1
5 – 9(y – 4)
5 – 9(y – 4)
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1
2 – (7n – 8) – 3n
2 – (7n – 8) – 3n
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1
2 – 9(-2c – 4) + 8c
2 – 9(-2c – 4) + 8c
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1
\frac{4}{7}(-56a + 63b)
\frac{4}{7}(-56a + 63b)
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1
7a – 3 –11a + 2+ 4a – 7
7a – 3 –11a + 2+ 4a – 7
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1
–4(5c – 3d) + 4(-7c + d)
–4(5c – 3d) + 4(-7c + d)
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1
4x – \frac{1}{3}(-36x + 39) – 3x
4x – \frac{1}{3}(-36x + 39) – 3x
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1
Show your work and then circle the answer.
2(8a + 2b) + 5(-7a + 6b)
Show your work and then circle the answer.
2(8a + 2b) + 5(-7a + 6b)
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1
Show your work and then circle the answer.
3a + 4b – 7a + b
Show your work and then circle the answer.
3a + 4b – 7a + b
Required
1
Show your work and then circle the answer.
2x - 8(x + 7) + 6x
Show your work and then circle the answer.
2x - 8(x + 7) + 6x
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.
1
Required
1
Required
1
x^{2}+y; for the ordered pair \left(-\frac{4}{9},6\right).
x^{2}+y; for the ordered pair \left(-\frac{4}{9},6\right).
Required
1
Required
1
\frac{z-4x}{xz-yz}; x=3, y=2, z=-4
\frac{z-4x}{xz-yz}; x=3, y=2, z=-4
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1
\frac{-5-3x^2}{2\left(x-4\right)^3} ; x=-3
\frac{-5-3x^2}{2\left(x-4\right)^3} ; x=-3
Required
1
Find the Interest on a loan: I = Prt if P = 4000, r = 11%, t = 2
Find the Interest on a loan: I = Prt if P = 4000, r = 11%, t = 2
Required
1
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.
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.
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1
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.
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.
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1
4\sqrt[3]{y+5}-3; y=724
4\sqrt[3]{y+5}-3; y=724
Required
1
Required
1
\left|a-b\right|+\sqrt[3]{c+8}; a=-6, b=8, c=117
\left|a-b\right|+\sqrt[3]{c+8}; a=-6, b=8, c=117
1
1
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
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