Quiz about Algebra 1 SOL Review

Question 1

Which expression is equivalent to $$\frac{18c^8d^9}{9c^3d^6}$$ ?

Assume the denominator does not equal zero.

Accepted Answer

$$2c^5d^3$$

Answer

$$9c^5d^3$$

Answer

$$2c^{11}d^{15}$$

Answer

$$9c^{11}d^{15}$$

Question 2

What is $$\sqrt[]{18}$$ written in simplest radical form?

Accepted Answer

$$3\ \sqrt[]{2}$$

Answer

$$2\ \sqrt[]{3}$$

Answer

$$3\ \sqrt[]{6}$$

Answer

$$6\ \sqrt[]{3}$$

Question 3

What is the value of this expression when $$x=\frac{2}{3}$$ ?

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

Accepted Answer

$$\frac{4}{9}$$

Answer

$$\frac{16}{3}$$

Answer

$$\frac{40}{9}$$

Answer

$$\frac{4}{3}$$

Question 4

Which expression is equivalent to

$$\left(3x^{-4}\right)^2\left(5x^{-2}\right)$$

Accepted Answer

$$\frac{45}{x^{10}}$$

Answer

$$\frac{30}{x^{10}}$$

Answer

$$30x^{14}$$

Answer

$$45x^{14}$$

Question 5

What is the value of this expression when $$a=64$$ and $$b=-5$$ ?

$$-2\cdot\sqrt[3]{a}+b^2$$

Accepted Answer

$$17$$

Answer

$$-17$$

Answer

$$7$$

Answer

$$-7$$

Question 6

When $$n>0$$ , which expression is equivalent to $$\sqrt[]{42n^9}$$ in simplest form?

Accepted Answer

$$n^4\ \sqrt[]{42n}$$

Answer

$$n^3\ \sqrt[]{42}$$

Answer

$$6n^3\ \sqrt[]{7}$$

Answer

$$6n^4\ \sqrt[]{7n}$$

Question 7

Look at the system of equations:

$$y=-x+2$$

$$7x+4y=-1$$

What is the value of x for the solution to this system of equations?

Accepted Answer

-3

Answer

-5

Answer

3

Answer

5

Question 8

Step 1: $$-8\ge n+3$$

Step 2: $$-8+\left(-3\right)\ge n+3+\left(-3\right)$$

Step 3: $$-11\ge n+0$$

Step 4: $$-11\ge n$$

What property justifies the work between Step 3 and Step 4?

Accepted Answer

Identity Property of Addition

Answer

Inverse Property of Addition

Answer

Addition Property of Inequality

Answer

Commutative Property of Addition

Question 9

Which property of real numbers justifies the work shown?

$$13x-1=\left(12x+15\right)+7x$$

$$13x-1=7x+\left(12x+15\right)$$

Accepted Answer

Commutative Property of Addition

Answer

Associative Property of Addition

Answer

Identity Property of Addition

Answer

Distributive Property

Question 10

What is the slope of the line represented by

$$8x+6y=24$$

Accepted Answer

$$-\frac{4}{3}$$

Answer

$$\frac{3}{4}$$

Answer

$$\frac{4}{3}$$

Answer

$$-\frac{3}{4}$$

Question 11

Solve for x:

$$-2x+6

Accepted Answer

$$x>4$$

Answer

$$x<4$$

Answer

$$x>-4$$

Answer

$$x<-4$$

Question 12

Which graph best models

$$y\le\frac{2}{7}x-2$$ ?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 13

Which inequality represents all the solutions of

$$9\left(4x-8\right)<4\left(6x+9\right)$$

Accepted Answer

$$x<9$$

Answer

$$x<-3$$

Answer

$$x>-3$$

Answer

$$x>9$$

Question 14

A system of inequalities is shown:

$$y\ge\frac{1}{2}x+1$$

$$y+3x\le6$$

From the given points, select the point that is a solution to this system of inequalities.

Accepted Answer

$$\left(1,2\right)$$

Answer

$$\left(-1,-3\right)$$

Answer

$$\left(2,0\right)$$

Answer

$$\left(4,6\right)$$

Question 15

The graph of line n is show.

Which number is closest in value to the slope of line n?

Accepted Answer

$$\frac{1}{4}$$

Answer

$$-4$$

Answer

$$-\frac{1}{4}$$

Answer

$$4$$

Question 16

Which equation best represents this data set?

$$\left\{\left(-4,-4.8\right),\left(-3,-8.2\right),\left(-2,-9.1\right),\left(-1,-8.1\right),\left(0,-4.7\right),\left(1,0.3\right)\right\}$$

Accepted Answer

$$y=1.1x^2+4.2x-4.9$$

Answer

$$y=1.1x^2+4.2x+4.9$$

Answer

$$y=1.1x-4.2$$

Answer

$$y=1.1x+4.2$$

Question 17

Which of the following best describes the range of this relation?

Accepted Answer

All real numbers greater than or equal to -4

Answer

All real numbers

Answer

All real numbers between -10 and 10

Answer

All real numbers less than or equal to -4

Question 18

Which equation could represent a graph with x-intercepts of $$\left(4,0\right)$$ and $$\left(-7,0\right)$$

Accepted Answer

$$y=x^2+3x-28$$

Answer

$$y=x^2-3x-28$$

Answer

$$y=x^2+3x+28$$

Answer

$$y=x^2-3x+28$$

Question 19

Which number is a zero of the function $$h\left(x\right)$$ ?

$$h\left(x\right)=x^2+3x-18$$

Accepted Answer

-6

Answer

-3

Answer

0

Answer

6

Question 20

Which of the following graphs appears to be a function?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 21

If $$f\left(x\right)=\left(x-3\right)^2+1$$ , what is $$f\left(6\right)?$$

Accepted Answer

10

Answer

-2

Answer

7

Answer

16

Question 22

Which number is NOT an element in the domain of this relation?

$$\left\{\left(-2,3\right),\left(0,4\right),\left(1,1\right),\left(6,0\right)\right\}$$

Accepted Answer

4

Answer

1

Answer

0

Answer

-2

Question 23

A formula to find the angle measures of an isosceles triangle is shown.

$$180=2x+y$$

Which equation can be used to find x?

Accepted Answer

$$x=\frac{180-y}{2}$$

Answer

$$x=\frac{180+y}{2}$$

Answer

$$x=90-y$$

Answer

$$x=90+y$$

Question 24

Renee is going bowling. The cost per game is $2.50. Renee will need to rent a pair of bowling shoes for $1.50. She can spend up to $16.00 to bowl and rent a pair of shoes. What is the maximum number of games that Renee can bowl?

Accepted Answer

5

Answer

4

Answer

6

Answer

9

Question 25

Which equation models a direct variation equation?

Accepted Answer

$$\frac{y}{x}=5$$

Answer

$$y=3x-1$$

Answer

$$xy=8$$

Answer

$$y=\frac{1}{2}x-6$$

Question 26

This relation is an inverse variation.

$$\left\{\left(-1,8\right),\left(4,-2\right),\left(-2,4\right)\right\}$$

Which equation represents this relation?

Accepted Answer

$$y=-\frac{8}{x}$$

Answer

$$y=-3x+5$$

Answer

$$y=-2x$$

Answer

$$y=-\frac{x}{8}$$

Question 27

Which of the following is a factor of $$x^2-12x+32$$ ?

Accepted Answer

$$x-8$$

Answer

$$x-12$$

Answer

$$x-2$$

Answer

$$x-1$$

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