8th grade math PA PSSA Review #2

Which statement describes values of x and y such that  $\frac{x}{y}$  could be an irrational number?

• The value of x is zero, and the value of y is an integer less than zero.

• The value of x is the square root of an integer, and the value of y is an integer greater than zero.

• The value of x is an integer less than zero, and the value of y is an integer greater than zero.

• The value of x is a square root that can be simplified to an integer, and the value of y is an integer less than zero.

Tags

CCSS.HSN.RN.B.3

Which number is positive, rational, and has a value between 0 and 1?

• $-0.\overline{2}$

• $\pi-3$

• $\sqrt{\frac{1}{4}}$

• $\frac{3}{2}$

Tags

CCSS.8.NS.A.1

A number is shown below.
 $0.\overline{56}$  
Which statement about the number is true?

• The number is rational and equivalent to  $\frac{56}{99}.$  

• The number is rational and equivalent to  $\frac{56}{100}.$ 

• The number is irrational and equivalent to  $\frac{1}{56}.$  

• The number is irrational and cannot be represented as a fraction written with integers.

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

In the expression below, c is an integer.
 $9^c\cdot9^{-c}$  
Which value is equivalent to the expression?

• 0

• 1

•  $\frac{1}{9^{2c}}$  

• 9

Tags

CCSS.8.EE.A.1

Fran buys used DVDS. She pays $2.75 for each DVD she buys. She graphs a line to show the total amount (y), in dollars, she pays to buy x used DVDS. Which equation correctly describes Fran’s line?

• $y=2.75$

• $y=2.75x$

• $y=x+2.75$

• $y=2.75x+2.75$

Tags

CCSS.8.EE.B.5

Which statement describing a function of x is true?

• The graph of $y=3x+9$ is linear and has a y-intercept of 9.

• The graph of $y=3x$ is nonlinear and passes through the origin.

• The graph of $y=3x^2$ is linear and passes through the point (0, 0).

• The graph of $y=3^2x+9$ is nonlinear and passes through the point (0, 9).

Tags

CCSS.8.F.A.3

Hank's Bicycle Rentals charges an initial fee of $15 and an hourly rate of $5 to rent a bicycle. Maria’s Bicycle Rentals has the same hourly rate but charges an initial fee of $12. To find the number of hours for which the two rental companies would charge the same amount to rent the bicycle, Cindy writes and solves the equation shown below.
 $15+5x=12+5x$  
Which statement describes the number of hours for which the two rental companies charge the same amount to rent a bicycle?

• The two companies charge the same amount to rent a bicycle for  $\frac{3}{5}$  hour. 

• The two companies charge the same amount to rent a bicycle for 3 hours.

• The two companies never charge the same amount to rent a bicycle for the same number of hours.

• The two companies always charge the same amount to rent a bicycle for the same number of hours.

Tags

CCSS.8.EE.C.7

Triangle PQR is graphed on the coordinate grid shown.To form triangle P'Q'R', triangle PQR will be rotated $90\degree$  clockwise about the origin. What will be the slope of side Q'R'? 

•  $-3$  

•  $\frac{-1}{3}$  

•  $\frac{1}{3}$  

• 3

Tags

CCSS.7.EE.A.1

Quadrilateral ABCD and quadrilateral A'B'C'D' are shown on the coordinate grid. Which sequence of transfomations could be used to map quadrilateral ABCD onto quadrilateral A'B'C'D'?

• a reflection across the x-axis, followed by a dilation centered at the origin with a scale factor of 0.5

• a dilation centered at the origin with a scale factor of 0.5, followed by a reflection across the y-axis

• a translation 4 units to the right, followed by a dilation centered at the origin with a scale factor of 0.5

• a rotation of $180\degree$ about the point (0, -0.5), followed by a dilation centered at the origin with a scale factor of 0.5

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

The side lengths of triangle ABC are listed below.

AB=7 mm

AC=12 mm

BC=6 mm

Which statement about triangle ABC is true?

• Angle A is a right angle.

• Angle B is a right angle.

• Angle C is a right angle.

• Triangle ABC is not a right triangle.

Tags

CCSS.HSG.CO.C.10