Quiz about Algebra 1 Review

Question 1

What is the result of the operation: -6 + 10?

Accepted Answer

4

Answer

16

Answer

-16

Answer

-4

Question 2

What is the value of 6/7 + 2/3?

Accepted Answer

32/21

Answer

20/21

Answer

12/10

Answer

8/10

Question 3

What is the result of 4 - (-6)?

Accepted Answer

10

Answer

-2

Answer

-10

Answer

2

Question 4

What is the solution to the equation 4x - 10 = -30?

Accepted Answer

x = -5

Answer

x = 10

Answer

x = 0

Answer

x = -2

Question 5

Which of the following is the correct solution to the equation (2/3)x + 8 = 4?

Accepted Answer

x = -6

Answer

x = 6

Answer

x = 12

Answer

x = -12

Question 6

Solve for x: 8x - 4(3x + 2) = 6x + 1.

Accepted Answer

x = -3

Answer

x = 3

Answer

x = 2

Answer

x = -2

Question 7

What is the value of x in the equation (3/4)x = (2/3)?

Accepted Answer

x = 8/9

Answer

x = 9/8

Answer

x = 2

Answer

x = 1/2

Question 8

Which inequality represents the solution to 3x + 6 < 12?

Accepted Answer

x < 2

Answer

x > 2

Answer

x < 6

Answer

x > 6

Question 9

If (4/x) = (6/9), what is the value of x?

Accepted Answer

x = 6

Answer

x = 4

Answer

x = 9

Answer

x = 8

Question 10

Which of the following is a proportion?

Accepted Answer

8/(x-4) = 6/(2x)

Answer

8x = 6x

Answer

x + 4 = 6

Answer

x/2 = 4

Question 11

If eight boxes of candy cost $16.96, what would 10 boxes cost?

Accepted Answer

$21.20

Answer

$19.95

Answer

$20.00

Answer

$18.50

Question 12

If Mike can type 124 words in four minutes, how many words can he type in six minutes?

Accepted Answer

186

Answer

150

Answer

200

Answer

124

Question 13

What is 18% of 52?

Accepted Answer

9.36

Answer

10.5

Answer

8.5

Answer

12.5

Question 14

14 is what percent of 56?

Accepted Answer

25%

Answer

20%

Answer

30%

Answer

15%

Question 15

18 is 60% of what number?

Accepted Answer

30

Answer

25

Answer

20

Answer

15

Question 16

What is the result of multiplying $$a^2 \cdot a^7$$ ?

Accepted Answer

$$a^9$$

Answer

$$a^{14}$$

Answer

$$a^5$$

Answer

$$a^{10}$$

Question 17

What is the result of multiplying $$3x^3y^4 \cdot 9xy^2$$ ?

Accepted Answer

$$27x^4y^6$$

Answer

$$12x^2y^6$$

Answer

$$27x^3y^8$$

Answer

$$12x^4y^2$$

Question 18

Simplify $$\frac{42x^6y^5}{8x^2y^3}$$ .

Accepted Answer

$$21x^4y^2/4$$

Answer

$$42x^4y^2/8$$

Answer

$$21x^3y^2/4$$

Answer

$$42x^8y^8/8$$

Question 19

Simplify $$(3a^2y^4)^2$$ .

Accepted Answer

$$9a^4y^8$$

Answer

$$6a^4y^8$$

Answer

$$9a^2y^8$$

Answer

$$6a^2y^4$$

Question 20

Simplify $$(-2x^3y^4)^3 \cdot (5xy)^2$$ .

Accepted Answer

$$-40x^{11}y^{14}$$

Answer

$$-40x^9y^{12}$$

Answer

$$-30x^5y^6$$

Answer

$$-20x^6y^8$$

Question 21

Simplify $$a^{10}(a^5)^3$$ .

Accepted Answer

$$a^{25}$$

Answer

$$a^{15}$$

Answer

$$a^{13}$$

Answer

$$a^{30}$$

Question 22

Factor $$x^2 - 8x + 12$$ .

Accepted Answer

(x-6)(x-2)

Answer

(x+6)(x+2)

Answer

$$(x-4)^2$$

Answer

(x-3)(x-4)

Question 23

Factor $$3x^2 - 27$$ .

Accepted Answer

$$3(x^2-9)$$

Answer

3(x+3)(x-3)

Answer

3(x-9)

Answer

$$(x-3)^2$$

Question 24

Factor $$x^2 - x - 12$$ .

Accepted Answer

(x-4)(x+3)

Answer

(x+4)(x-3)

Answer

(x-6)(x+2)

Answer

(x+6)(x-2)

Question 25

Factor $$36x^3 + 6x^2 - 6x$$ .

Accepted Answer

$$6x(6x^2 + x - 1)$$

Answer

$$6x^2(6x + 1)$$

Answer

$$6x(x^2 + x - 1)$$

Answer

$$6x(6x^2 - x + 1)$$

Question 26

Factor $$27x^3y^3 - 18x^3y^2 - 6xy^2$$ .

Accepted Answer

$$3xy^2(9x^2y - 6x^2 - 2)$$

Answer

$$3x^2y^2(9y - 6 - 2x)$$

Answer

$$3xy^2(9x^2y - 6x^2 - 2x)$$

Answer

$$3xy^2(9x^2y - 6x^2 + 2)$$

Question 27

Factor $$9x^2 + 12x + 4$$ .

Accepted Answer

$$(3x+2)^2$$

Answer

$$(3x-2)^2$$

Answer

$$(x+2)^2$$

Answer

$$(3x+4)^2$$

Question 28

Factor $$2x^3 - 10x^2 + 12x$$ .

Accepted Answer

$$2x(x^2 - 5x + 6)$$

Answer

$$2x(x^2 + 5x + 6)$$

Answer

$$2x(x^2 - 5x - 6)$$

Answer

$$2x(x^2 + 5x - 6)$$

Question 29

Factor $$9x^2 - 25y^2$$ .

Accepted Answer

(3x+5y)(3x-5y)

Answer

$$(3x+5y)^2$$

Answer

$$(3x-5y)^2$$

Answer

(9x+25y)(9x-25y)

Question 30

Find the product of the polynomials: (5x - 2)(3x + 7)

Accepted Answer

$$15x^2 + 29x - 14$$

Answer

$$15x^2 - 29x + 14$$

Answer

$$15x^2 + 11x - 14$$

Answer

$$15x^2 - 11x + 14$$

Question 31

Solve the quadratic equation: $$x^2 - 16 = 0$$

Accepted Answer

x = 4, x = -4

Answer

x = 8, x = -8

Answer

x = 2, x = -2

Answer

x = 16, x = -16

Question 32

Which of the following is the correct equation of a line with slope = 2/3 and y-intercept = 5?

Accepted Answer

y = (2/3)x + 5

Answer

y = (3/2)x + 5

Answer

y = (2/3)x - 5

Answer

y = (3/2)x - 5

Question 33

What is the slope between the points (-1, 6) and (2, 4)?

Accepted Answer

-2/3

Answer

2/3

Answer

1/2

Answer

-1/2

Question 34

Which of the following points is located in Quadrant II?

Accepted Answer

(-1, 8)

Answer

(2, 9)

Answer

(-4, -1)

Answer

(2, -1)

Question 35

What is the slope and y-intercept of the line given by the equation y = (2/3)x + 4?

Accepted Answer

Slope: 2/3, y-intercept: 4

Answer

Slope: 3/2, y-intercept: -4

Answer

Slope: -2/3, y-intercept: 4

Answer

Slope: 2, y-intercept: 3

Question 36

Which of the following is the correct simplified form of the rational expression $$(x^2 - y^2) / (x - y)$$ ?

Accepted Answer

x + y

Answer

x - y

Answer

$$x^2 - y$$

Answer

$$x^2 + y^2$$

Question 37

What is the solution to the rational equation 2/(x + 4) = 3/x?

Accepted Answer

x = -2

Answer

x = 2

Answer

x = 4

Answer

x = -6

Question 38

Which of the following is the correct simplified form of the rational expression $$\frac{x^2 + 2x - 8}{x^2 + 3x - 10} \cdot \frac{x + 5}{x^2 - 16}$$ ?

Accepted Answer

(x + 4)/(x - 2)

Answer

(x - 4)/(x + 2)

Answer

(x + 2)/(x - 4)

Answer

(x - 2)/(x + 4)

Question 39

What is the y-intercept of the line y = -1/2 x - 6?

Accepted Answer

-6

Answer

-1/2

Answer

6

Answer

1/2

Question 40

Which of the following is the correct translation for "8 more than twice a number is 52"?

Accepted Answer

2x + 8 = 52

Answer

8x + 2 = 52

Answer

2x - 8 = 52

Answer

x/2 + 8 = 52

Question 41

How would you write "4 times the difference of a number and 6 is 46" as an equation?

Accepted Answer

4(x - 6) = 46

Answer

4x - 6 = 46

Answer

4(x + 6) = 46

Answer

x - 4*6 = 46

Question 42

What is the equation for "3 less than half of a number is 17"?

Accepted Answer

(x/2) - 3 = 17

Answer

3x - 2 = 17

Answer

(x/3) - 2 = 17

Answer

(x/2) + 3 = 17

Question 43

Which equation represents "The quotient of 2 and a number is 30"?

Accepted Answer

2/x = 30

Answer

x/2 = 30

Answer

2x = 30

Answer

x + 2 = 30

Question 44

If I = prt, solve for t.

Accepted Answer

t = I/(pr)

Answer

t = pr/I

Answer

t = I + pr

Answer

t = p/(Ir)

Question 45

Which of the following is NOT a key topic students should know according to the Diocesan Math Standards?

Accepted Answer

Calculating Area of a Circle

Answer

Solving Systems of Equations

Answer

Interpreting Histograms

Answer

Creating Frequency Tables from data

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