ACT Prep

A consultant charges $45 for each hour she works on a consultation, plus a flat $30 consulting fee.  How many hours of work are included in a $210 bill for consultation?

• 2  4/5
• 4
• 4  2/3
• 7

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Point M, with coordinates (5,4) is the midpoint of line segment AB, and B has coordinates (7,3).  What are the coordinates of A?

• (17,11)
• (9,2)
• (6,3.5)
• (3,5)

Tags

CCSS.HSA.REI.C.6

CCSS.HSG.GPE.B.6

Janelle cut a board 30 feet long into two pieces.  The ratio of the lengths of the two pieces is 2:3.  What is the length, to the nearest foot, of the shorter piece?

• 5
• 6
• 12
• 18

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

What values are the solutions for x² + 2x = 8?

• -4 and 2
• -2 and 0
• -2 and 4
• 6 and 8

Tags

CCSS.HSA.REI.B.4

A hot-air balloon 70 meters above ground is falling at a constant rate of 6 meters per second while another that is 10 meters above ground is rising at a constant rate of 15 meters per second.  After how many seconds will the two balloons be at the same height above ground?

• 8.9
• 2.9
• 6.7
• 0.4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

Given f(x) = 4x + 1  and  g(x) = x² - 2, which of the following is an expression for f(g(x))?

• 4x² - 7
• 4x² - 1
• x² + 4x - 1 
• 16x² + 8x - 1

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

(3x³)³  is equivalent to:

• 27x⁶
• 9x⁹
• 3x⁶
• 27x⁹

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

In the number 0.222 the 2 next to the decimal point represents a value that is how many times as large as that represented by the 2 farthest from the decimal point?

• 0.01

• 0.1

• 1.0

• 10.0

• 100.0

Tags

CCSS.HSA.SSE.A.1

In scientific notation, 0.00326 = ?

• 3.26 x 10^-3

• 3.26 x 10^-2

• 3.26 x 10^-1

• 3.26 x 10²

• 3.26 x 103

Tags

CCSS.6.EE.A.1

When a plane takes 52 minutes to fly 196 miles, about how many miles per hour does it average?

• 102

• 170

• 196

• 226

• 377

Tags

CCSS.HSF.IF.B.6

CCSS.HSN.Q.A.1