Algebra Keystone Module 1 Practice Test (2020)

Four values are listed below.
 $\frac{1}{7}\ \ \ 20\%\ \ \ \sqrt{0.5}\ \ \ \left|-0.5\right|$  
Which list shows the values in order from least to greatest?

•  $\left|-0.5\right|\ \ \ \sqrt{0.5}\ \ \ \ \frac{1}{7}\ \ \ 20\%\ \$  

•  $\left|-0.5\right|\ \ \ \frac{1}{7}\ \ \ 20\%\ \ \sqrt{0.5}\$  

•  $\frac{1}{7}\ \ \ 20\%\ \ \ \left|-0.5\right|\ \ \ \sqrt{0.5}$  

•  $\frac{1}{7}\ \ \ \sqrt{0.5}\ \ \ \left|-0.5\right|\ \ \ 20\%$  

An inequality is shown below.

 $4\left(ab\right)^3>15a^3b$  
Which values of a and b make the inequality true?

• a=1, b=1

• a=1, b=2

• a=2, b=0

• a=2, b=1

Four expressions are shown below.
 $\sqrt{x}\ \ \ x^2\ \ \ \frac{1}{x}\ \ \ \frac{x}{2}$  
Which inequality comparing two of the expressions is true when 0.1 ≤ x ≤ 0.4?

•  $\sqrt{x}>x^2$  

•  $x^2>\frac{x}{2}$  

•  $x>\frac{1}{x}$  

•  $\frac{x}{2}>\frac{1}{x}$  

Which equation correctly shows that $\left(x^2\right)^4=x^8$ ? 

•  $\left(x^2\right)^4=\left(x^2\right)\left(x^4\right)=x^8$  

•  $\left(x^2\right)^4=4\left(2x\right)=8x=x^8$  

•  $\left(x^2\right)^4=4\left(x^2\right)=x^2+x^2+x^2+x^2=x^8$  

•  $\left(x^2\right)^4=\left(x^2\right)\left(x^2\right)\left(x^2\right)\left(x^2\right)=x\cdot x\cdot x\cdot x\cdot x\cdot x\cdot x\cdot x=x^8$  

 Two expressions are shown below.

 $\pi x\ \ \ x^2$  
For which value of x is the value of  $\pi x$   greater than the value of  $x^2$  ?

• x = -2

• x = 0

• x = 1.5

• x = 9

An equation involving polynomials is shown below.

(ax + 5y) + (x – y) – (3x – by) = 2x + y

What are the values of a and b?

• a=4, b=-3

• a=4, b=3

• a=5, b=-5

• a=5, b=5

The difference of 2 polynomial expressions is shown below. 

 $\left(-2x^2+wx-4\right)-\left(x^2+5x+6\right)=-3x^2-10$  

What is the value of w?

• -8

• -5

• 2

• 5

The list below shows the items Ethan and his friends bought for lunch.

• 2 sandwiches for $5.29 each

• 2 burgers for $6.79 each

• 1 bowl of soup for $3.89

• 5 drinks for $1.19 each

They paid 8% tax. They then paid a tip that was about twice the amount of the tax they paid. Which is the closest estimate of the total amount Ethan and his friends paid for their food, drinks, tax, and tip?

• $22

• $33

• $43

• $51

Joan has a gym gift card worth $100. Each time she visits the gym, $12 is deducted from the amount remaining on the gift card. Which equation can be used to determine the amount of money (m), in dollars, remaining on the gift card after Joan visits the gym d times?

• m = 12 - 100d

• m = 12d - 100

• m = -12 + 100d

• m = -12d + 100

Anna’s Bakery charges a delivery fee of $10.95 for one delivery order of cupcakes. Each cupcake in the order costs $1.15. Which equation describes the relationship between the number of cupcakes ordered (x) and the total cost (y), in dollars, of the delivery order?

• y = 1.15x

• y = 12.10x

• y = 1.15x + 10.95

• y = 10.95x + 1.15