ACT MATH

When x = 3 and y = 5, by how much does the value of 3x² – 2y exceed the value of 2x²– 3y ?

• 14

• 4

• 20

• 16

• 50

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

The length, in inches, of a box is 3 inches less than twice its width, in inches. Which of the following gives the length, l inches, in terms of the width, w inches, of the box?

• l = w + 3

• l =  $\frac{1}{2}$  w + 3

• l = 2w – 3

• l = 2w + 3

• l =  w – 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.4

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.B.3

What is the greatest common factor of 42, 126, and 210 ?

• 2

• 6

• 14

• 210

• 42

Tags

CCSS.6.NS.B.4

How many irrational numbers are there between 1 and 6 ?

• 3

• 10

• 1

• 4

• infinitely many

Tags

CCSS.HSN.RN.B.3

What is the degree measure of the acute angle formed by the hands of a 12-hour clock that reads exactly 1 o’clock?

• 15°

• 30°

• 45°

• 60°

• 80°

Tags

CCSS.HSG.CO.A.1

Which of the following statements must be true whenever n, a, b, and c are positive integers such that n < a, c > a, and b > c ?

• b – n > a –n

• a < n

• b < n

• n + b = a + c

• 2n > a + b

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

What is the probability that a number selected at random from the set {2, 3, 7, 12, 15, 22, 72, 108} will be divisible by both 2 and 3 ?

•  $\frac{3}{5}$  

•  $\frac{5}{8}$  

•  $\frac{7}{8}$  

•  

   $\frac{3}{8}$ 

•  $\frac{1}{4}$  

Tags

CCSS.HSS.CP.A.1

A circle has a circumference of 16 $\pi$   feet. What is the radius of the circle, in feet?

•  $\sqrt{8}$  

• 8

• 16

• 24

• 32

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.4

CCSS.HSA.REI.B.3

CCSS.HSG.GMD.A.1

A rectangle with a perimeter of 30 centimeters is twice as long as it is wide. What is the area of the rectangle in square centimeters?

• 15

• 25

• 50

• 100

• 125

Tags

CCSS.7.EE.B.3

CCSS.7.EE.B.4

CCSS.7.G.B.6

Which of the following orders the numbers 0.6, 0.07 , and

 $\frac{3}{4}$   from least to greatest?

• 0.6 < 0.07 <  $\frac{3}{4}$ 

• 0.07 < 0.6 <  $\frac{3}{4}$ 

• 0.07 <  $\frac{3}{4}$  < 0.6

•  $\frac{3}{4}$  < 0.07 < 0.6

•  $\frac{3}{4}$  < 0.6 < 0.07

Tags

CCSS.5.NBT.A.3