Quiz about Alg 1 Midterm Review

Question 1

Which real number below is Irrational?

Accepted Answer

$$\sqrt[3]{9}$$

Answer

$$-5.\overline{3}$$

Answer

$$-3\sqrt[]{64}$$

Answer

0

Question 2

Check all the sets that -7 belongs to:

Accepted Answer

Rational

Accepted Answer

Integer

Answer

Irrational

Answer

Whole

Question 3

Translate: Eighteen decreased by the quotient of x and 4, squared

Accepted Answer

$$\left(18-\frac{x}{4}\right)^2$$

Answer

$$18^2-4x^2$$

Answer

$$\left(18-4x\right)^2$$

Answer

$$18-\left(\frac{x}{4}\right)^2$$

Question 4

Simplify: $$1-\frac{4-12}{6\div3}+8$$

Accepted Answer

13

Answer

11

Answer

1

Answer

5

Question 5

The GCF of $$8x^2y^3z$$ and another monomial is $$4xy^2$$ . Which is the other monomial?

Accepted Answer

$$12xy^2$$

Answer

$$2xyz$$

Answer

$$2xy^2$$

Answer

$$12xy^2z$$

Question 6

What is the value of p so that the expression below simplifies with no remaining radical?

$$\sqrt[]{12xy^2p}$$

Accepted Answer

p = 3x

Answer

p = 12xy

Answer

p = 2x

Answer

p = 6x

Question 7

Name the property: 4 + (7 + x) = (4 + 7) + x

Accepted Answer

Associative Property of Addition

Answer

Associative Property of Multiplication

Answer

Commutative Property of Addition

Answer

Addition Law of Equality

Question 8

Name the property: $$\frac{18}{\frac{4}{x}}=18\cdot\frac{x}{4}$$

Accepted Answer

Definition of Division

Answer

Multiplicative Inverse

Answer

Identity Property of Multiplication

Answer

Subs

Question 9

The sum of three consecutive odd numbers is 219. What is the correct setup?

Accepted Answer

$$x\ +\ \left(x+2\right)+\left(x+4\right)=219$$

Answer

$$x\ +\ \left(x+1\right)+\left(x+3\right)=219$$

Answer

$$x+\left(x+2\right)+\left(x+3\right)=219$$

Answer

$$3x\ +\ 1\ =\ 219$$

Question 10

The height of a poster is 4 more than the width. A 2 inch frame is added around the poster. The area of the space between the poster and frame is 96 square inches.

Accepted Answer

8 inches by 12 inches

Answer

4 inches by 8 inches

Answer

12 inches by 16 inches

Answer

2 inches by 6 inches

Question 11

Given n is a positive integer, order the expressions from least to greatest:

$$2n,\ \ -3n,\ \ -\left|n\right|,\ \ -\sqrt[]{n}$$

Accepted Answer

$$-3n,\ \ -\left|n\right|,\ \ -\sqrt[]{n},\ \ 2n$$

Answer

$$2n,\ \ -3n,\ \ -\left|n\right|,\ \ -\sqrt[]{n}$$

Answer

$$2n,\ \ -\sqrt[]{n},\ \ -\left|n\right|,\ \ -3n$$

Answer

$$-\sqrt[]{n},\ \ -\left|n\right|,\ \ -3n,\ \ 2n$$

Question 12

What is the solution to the equation: $$9\left|x+1\right|=18$$

Accepted Answer

{1, -3}

Answer

{1, -1}

Answer

{1}

Answer

No Solution

Question 13

The dimensions of a rectangular garden is x + 9 by 2x - 1. What is the simplified expression to find the area of the garden?

Accepted Answer

$$2x^2+17x-9$$

Answer

$$2x^2-17x+9$$

Answer

$$19x^2-9$$

Answer

$$6x+16$$

Question 14

Simplify the expression: $$\left(2x^3y\right)^4$$

Accepted Answer

$$16x^{12}y^4$$

Answer

$$2x^{12}y^4$$

Answer

$$8x^{12}y$$

Answer

$$8x^{12}y^4$$

Question 15

Simplify the expression: $$\left(x^3-4x+1\right)-\left(6x-2x^3+1\right)$$

Accepted Answer

$$3x^3-10x$$

Answer

$$x^3-10x$$

Answer

$$3x^3-10x-2$$

Answer

$$x^3-10x+2$$

Question 16

Simplify the expression: $$\left(3-5x\right)^2$$

Accepted Answer

$$25x^2-30x+9$$

Answer

$$9-25x^2$$

Answer

$$9+25x^2$$

Answer

$$5x^2-30x+9$$

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