ACAP Review (8th Grade)

ACAP Review (8th Grade)

Multiple Choice

Which integer is a perfect square?

• 169

• 24

• 10

• 212

Multiple Choice

How do you write 8.7 x 10^-1 in standard form?

• 0.87

• 8.7

• 87

• 0.087

Multiple Choice

Write the decimal as a fraction in simplest form

Multiple Choice

To which real number set do the following real numbers belong?

• Irrational Numbers

• Natural Numbers

• Rational Numbers

• Integers

Multiple Choice

Find the slope of the line that passes through the points (2, 4) and (6, 12)

• 1/2
• -1/2
• 2
• -2

Multiple Choice

Is this function linear or nonlinear?

• Linear

• Nonlinear

Multiple Choice

Is function represented by the table linear or nonlinear?

• linear
• nonlinear

Multiple Choice

Find the rate of change

• 1
• 2
• 11
• Not a constant slope/Non-Linear

Multiple Choice

Determine if the equation is linear or nonlinear.

• Linear

• Nonlinear

Multiple Choice

Which graph depicts a nonlinear function?

• Graph A
• Graph B
• Graph C
• Graph D

Multiple Choice

Is function represented by the table linear or nonlinear?

• linear
• nonlinear

Multiple Choice

Which set of values is a function?

• (9,5) (10,5) (9,-5) (10,-5)
• (3,4) (4,-3) (7,4) (3, 8)
• (6,-5) (7, -3) (8, -1) (9, 1)
• (2, -2) (5, 9) (5, -7) (1, 4)

Multiple Choice

Is this mapping a function or not a function?

• Function

• Not a Function

Multiple Choice

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

Multiple Choice

Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-3,-8)
• (-8,-3)
• (3,-8)
• (8,3)

Multiple Choice

Solve using elimination.

4x + 8y = 20

-4x + 2y = -30

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)

Multiple Choice

Solve by elimination 
-2x + 6y = 16
-4x  - 3y = 2

• (2,2)
• (-2, -2) 
• (-2,2)
• (2,1)

Multiple Choice

y = -6x + 5

-2x + y = 5

• (-3, -6)

• (-6, 3)

• (0, 5)

• (-3, 5)

Multiple Choice

x - 3y = -13
4x + 2y = 4

• (1, 4)
• (-1, -4)
• (-1, 4)
• (1, -4)

Multiple Choice

Solve the system by substitution.
 
5x + 4y= −14
y =  −7x  −  15 

• (-2, -1)
• (1, -2)
• (-2, 1)
• (-1, -2)

Multiple Choice

Solve this system of equations. 
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

Multiple Choice

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (0, 1)

Multiple Choice

2x + 3(5x - 7) = 47

• x = 1
• x = 2
• x = 3
• x = 4

Multiple Choice

-15 = 5a +12- 2a + 6

• -11

• -3

• 10

• 7

Multiple Choice

Solve:
5y+34 = -2(-7y+1)

• y = -4
• y = 9
• y = 4
• y = 36/19

Multiple Choice

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

• x = -6
• x = 6
• x = 3

Multiple Choice

7w + 5 = 3w - 15

• 5
• -2
• 2
• -5

Multiple Choice

Solve.

(2x - 3) / 4 = 9

• x = 24

• x = 12

• x = 17.5

• x = 19.5

Multiple Choice

-(n - 8) = -2

• 6
• 10
• -10
• -6

Multiple Choice

2x + 3(5x - 7) = 47

• 1
• 2
• 3
• 4

Multiple Choice

Which graph shows a proportional relationship between x and y?

• F

• G

• H

• J

Multiple Choice

What is the rate of change for the following graph?

• 80
• 20
• 40
• 160

Multiple Choice

Find the rate of change

• 1
• 2
• 11
• Not a constant slope/Non-Linear

Multiple Choice

Find the slope of the line.

• 1/2
• -1/2
• 2
• -2

Multiple Choice

Is this table proportional or non-proportional?

• Proportional
• Non-Proportional

Multiple Choice

Is this graph proportional?

• Yes
• No

Multiple Choice

Is this graph proportional?

• Yes

• No

Multiple Choice

What is the constant of proportionality for this table?

• $1/9 per hour

• $9 per hour

• $8 per hour

Multiple Choice

What does 'b" represent in y=mx+b

• y-intercept
• change in y
• change in x
• constant rate of change

Multiple Choice

What type of slope?

• negative
• steep
• undefined
• zero slope

Multiple Choice

What type of slope?

• undefined
• positive slope
• negative slope
• zero slope

Multiple Choice

What type of slope?

• negative
• positive
• zero slope
• downward slope

Multiple Choice

Write the equation of the line.

• y = -2/3x + 4
• y = 2/3x + 4
• y = 3/2x + 4
• y = -3/2x + 4

Multiple Choice

Determine the slope and y-intercept from the following equation: y = 3/2x + 3

• slope: 5 y-intercept: (0,3)

• slope: 3/2 y-intercept: (0,3)

• slope: 4 y-intercept: (0,3/2)

• slope: 1/5 y-intercept: (0,5)

Multiple Choice

Find the slope

• 5/2

• -5/2

• 2/5

• -2/5

Multiple Choice

Does the table represent a proportional relationship?

• Yes.

• No.

Multiple Choice

What is the y-intercept of the equation y=3x + 5?

• 5

• 2

• 3

• 7

Multiple Choice

What is the slope of the equation Y = 3x +5

• 3

• 5

• 9

• 2

Multiple Choice

On a two-week job, a repairman works a total of 70 hours. he charges $75 plus $40 per hour. Which equation shows his rate of pay?

• y = 40x +75

• y = 75x + 40

• y = 45x + 70

• y = x

Multiple Choice

Evaluate. Leave your answer in scientific notation. 
(3.4×10⁴)(2×10⁴)

• 6.8×10⁴
• 5.4×10⁴
• 6.8×10⁸
• 5.4×10⁸

Multiple Choice

(2 x 10⁹)(4 x 10^-4)

• 8 x 10¹³

• 8 x 10³⁶

• 8 x 10⁵

• 8 x 10^-36

Multiple Choice

Solve:
(6 x 10⁶) / (2 x 10³)

• 12 x 10³
• 3 x 10⁹
• 1.2 x 10⁴
• 3 x 10³

Multiple Choice

Multiply:

(9.4 x 10⁶)(3.2 x 10⁵)

• 30.08 x 10¹¹

• 3.8 x 10¹

• 3.008 x 10¹²

• 2.9375 x 10¹

Multiple Choice

What is the simplified version of

• 3.9 x 10⁶
• 4 x 10²⁰
• 4 x 10⁶
• 3.9 x 10²⁰

Multiple Choice

Convert this number into scientific notation: 0.068

• 6.9 x 10⁶

• 6.8 x 10^-9

• 6.8 x 10^-2

• None of the above

Multiple Choice

Convert to standard notation:
2.4 x 10^-3 

• 2400
• 0.24
• 0.024
• 0.0024

Multiple Choice

Convert to scientific notation:
520,000,000  

• 52 x 10⁷
• 5.2 x 10⁷
• 5.2 x 10⁸
• 0.52 x 10⁹

Multiple Choice

Express the following in scientific notation:
.000457

• 457 x 10⁶
• 457 x 10^-6
• 4.57 x10⁴
• 4.57 x 10^-4

Multiple Choice

How do you write

8.317 x 10⁶

in standard form?

• 8, 371, 000

• 83, 170, 000

• 837, 100

• 8, 317, 000

Multiple Choice

How would you write 5.6 x 10^-3 in standard form?

• 56,000

• 5,600

• 0.00056

• 0.0056

Multiple Choice

Try to change the number back to standard form: 6.79 x 10⁴

• 679,000

• 6,790

• 67,900

• 6,790,000

Multiple Choice

Change from standard form to scientific notation: 0.004078

• 4.078  x  10^-3
• 4.078  x  10³
• 40.78  x  10^-4
• .4078  x  10^-2

Multiple Choice

Change from standard form to scientific notation: 450,000

• 4.5 x 10⁵

• 45 x 10⁵

• 4.5 x 10⁴

• 4.5 x 10⁶

Multiple Choice

Solve.

√9 × √100

• 30

• -200

• 900

• 90

Multiple Choice

If x³ = -27, then x equals

• -3
• -9
• +3 and -3
• +9 and -9

Multiple Choice

Solve for x when x² = 144

• 4
• 11
• 12
• 14

Multiple Choice

What is the cube root of 125?

• 5
• -5
• 25
• -25

Multiple Choice

Simplify:

• 28

• 56

• 11

• 15

Multiple Choice

Which of these is not a perfect square?

• 144
• 36
• 121
• 72

Multiple Choice

Evaluate.

• 7/5

• ±7/5

• 5/7

• ±5/7

Multiple Choice

Evaluate.

• -12
• 12
• ±12
• 1/12

Multiple Choice

 $\sqrt{529}$  

• 43

• 28

• 15

• 23

Multiple Choice

Determine which is perfect square?

• 54

• 36

• 21

• 43

Multiple Choice

Rewrite using radicals:

y^3/2

• ∛y²

• √y³

• 3/2√y

• 2/3√y

Multiple Choice

√121

• 11

• 12

• 21

• 121

Multiple Choice

Simplify:
√6 ⋅√6

• √36
• 2√3
• 12
• 6

Multiple Choice

√5 × √10

• 50
• 2√5
• 5√2
• 5√10

Multiple Choice

• 7√3

• Can't Simplify

• 6√15

• 6√3

Multiple Choice

Simplify the following radical: 2√24

• 4√6
• 2√6
• 24√2
• 4√4

Multiple Choice

• 2a²b⁶
• 1/2a²b⁶
• b⁶/2a²
• 2b⁶/a²

Multiple Choice

  Simplify
 (2a²b⁴z)(6a³b²z⁵)

• 8a⁵b⁶z⁶
• 12a⁶b⁸z⁵
• 12a⁵b⁶z⁶
• 8a⁶b⁸z⁵

Multiple Choice

(2x³y)⁶

• 2x¹⁸y⁶
• 64x¹⁸y⁶
• 64x³y⁶
• 2x³y⁶

Multiple Choice

x^-42

• 1⁴²/x
• x⁴²/1
• x/1⁴²
• 1/x⁴²

Multiple Choice

Simplify the expression.

(xy)⁷

• x⁷y⁷

• xy⁷

• xy¹⁴

• x⁷/y⁷

Multiple Choice

 $5^0$  

• 5

• 1

• 0

• undefined

Multiple Choice

Simplify.  $x^9\cdot x^{-7}$  

•  $x^{-63}$  

•  $x^{-16}$  

•  $x^2$  

•  $x^{-2}$  

Multiple Choice

Simplify,  $\left(4x^4y^{-4}\right)^3$  

•  $4x^7y^{-1}$  

•  $\frac{4x^{12}}{y^{12}}$  

•  $\frac{x^{12}}{64y^{12}}$  

•  $\frac{64x^{12}}{y^{12}}$  

Multiple Choice

Simplify.  $\frac{1}{2^{-4}}$  

•  $8$  

•  $16$  

•  $\frac{1}{8}$  

•  $\frac{1}{16}$  

Multiple Choice

Simplify.  $\frac{x^5y^6}{xy^2}$  

•  $x^4y^8$  

•  $x^4y^4$  

•  $\frac{1}{x^4y^4}$  

•  $\frac{x^4}{y^4}$  

Multiple Choice

Simplify.  $4x^3\cdot2x^3$  

•  $6x^9$  

•  $8x^9$  

•  $6x^6$  

•  $8x^6$  

Multiple Choice

.141414141414...

• Rational

• Irrational

• real

• fake

Multiple Choice

List the following numbers from least to greatest:
-64 , 3.5 , √27 , 6.666...

• -64 , 3.5 , √27 , 6.666...
• 3.5 , √27 , 6.666..., -64
• 3.5, -64, √27, 6.666...
• 6.666, √27, -64, 3.5

Multiple Choice

Which number is rational below?

• √20
• √64
• 6π
• √7

Multiple Choice

The √98 falls between what two numbers on a number line?

• 10 and 11
• 11 and 12
• 9 and 10
• 90 and 100

Multiple Choice

Which point best represents  $\sqrt{10}$  on a number line?

• point A

• point B

• point C

• point D

Multiple Choice

Which is the best rational approximation for  $\sqrt{55}$  ?

• 7.5

• 27.5

• 5.5

• 11.0

Multiple Select

The number  $-\sqrt{16}$  belongs to what number system(s)?

• natural number

• whole number

• integer

• rational number

• imaginary number

Multiple Choice

What type of number is a non-repeating, non-terminating decimal?

• irrational

• prime

• rational

• imaginary

Multiple Choice

Which of the following is an irrational number?

• 0.333

• $\sqrt{8}$

• $\sqrt{49}$

• $\frac{5}{22}$