1.7 -1.8 Review Lesson

Review for weekly quiz
Lesson 1.7 & 1.8

Math Response

What is the GCF of 40x + 20?

Type answer here

Correct Answer: 20

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Math Response

What is the GCF of 8 - 12d?

Type answer here

Correct Answer: 4

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Math Response

What is the GCF of $$27x + 18x^2$$ ?

Type answer here

Correct Answer: 9x

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Math Response

What is the GCF of $$6d^2 - 18d$$ ?

Type answer here

Correct Answer: 6d

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Math Response

Factor the algebraic expression:

5. 14ab - 28a = ____________________

Type answer here

Correct Answer: 14a\left(b-2\right)

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Math Response

Factor the algebraic expression:

6. $$7x^2 + 7$$ = ____________________

Type answer here

Correct Answer: 7\left(x^2+1\right)

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Math Response

Factor the algebraic expression: $$13n - 39n^2$$ = ________________

Type answer here

Correct Answer: 13n\left(1-3n\right)

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Math Response

Factor the algebraic expression: $$16x - 24x^2$$

Type answer here

Correct Answer: 8x\left(2-3x\right)

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Math Response

Factor the algebraic expression: $$49x + 28x^2$$

Type answer here

Correct Answer: 7x\left(7+4x\right)

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Math Response

Factor the algebraic expression: $$4d^2 - 16d$$ = ________________

Type answer here

Correct Answer: 4d\left(d-4\right)

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Math Response

Factor the algebraic expression: $$9x^2 + 18x$$ = ________________

Type answer here

Correct Answer: 9x\left(x+2\right)

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Math Response

Factor the algebraic expression: $$48n - 16n^2$$ = ________________

Type answer here

Correct Answer: 16n\left(3-n\right)

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​Review: Exponent Rules

Math Response

Simplify each expression. Express each using positive exponents. (Examples 1–4) 2. $$(h^5)^{-3}$$ = _______

Type answer here

Correct Answer: \frac{1}{h^{15}}

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Math Response

Simplify each expression. Express each using positive exponents. (Examples 1–4) 3. $$(f^6)^{-2}$$ = _______

Type answer here

Correct Answer: \frac{1}{f^{12}}

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Math Response

Simplify each expression. Express each using positive exponents. (Examples 1–4) 4. $$(5x^2y^3)^3$$ = _______

Type answer here

Correct Answer: 125x^6y^9

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Math Response

Simplify each expression. Express each using positive exponents. (Examples 1–4) 5. $$(7u^2v^{-2})^3$$ = _______

Type answer here

Correct Answer: \frac{343u^6}{v^6}

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Math Response

Simplify each expression. Express each using positive exponents. (Examples 1–4) 6. $$(4d^0e^5f^{-2})^4$$ = _______

Type answer here

Correct Answer: \frac{256e^{20}}{f^8}

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Math Response

Simplify each expression. Express each using positive exponents. (Examples 1–4) 7. $$\left(\frac{t^3}{u}\right)^4$$ = _______

Type answer here

Correct Answer: \frac{t^{12}}{u^4}

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Math Response

Simplify each expression. Express each using positive exponents. (Examples 1–4)

8. $$\left(\frac{(4b^2}{c^2d}\right)^2$$ = _______

Type answer here

Correct Answer: \frac{16b^4}{c^4d^2}

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Math Response

Simplify each expression. Express each using positive exponents. (Examples 1–4) 9. $$\left(\frac{6j}{7k^2}\right)^3$$ = _______

Type answer here

Correct Answer: \frac{216j^3}{343k^6}

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Math Response

Simplify each expression. Express each using positive exponents. (Examples 1–4) 10. $$\left(\frac{g^{-3}h^2j^7}{g^9h^{-4}j}\right)^5$$ = _______

Type answer here

Correct Answer: \frac{h^{30}j^{30}}{g^{15}}

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