Elementary Algebra -- ACT Prep

- (x² + 3x - 4) + 3(x² - x) + 4 is equivalent to:

• 2x²

• 2x² + 8

• 2(x² - 3x)

• 2x² - 6x + 8

• 4x² + 3x

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

For all x, (3x - 1)² = ?

• 9x² - 1

• 9x² + 1

• 9x² - 6x + 1

• 9x² + 6x + 1

• 9x² + 9x + 1

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.C.5

CCSS.HSA.SSE.A.2

k² + 23k + 17 - 36k² - 22k is equivalent to:

• -17k²

• -17k⁶

• -35k⁴ + k² + 17

• -35k² + k + 17

• -36k² + k + 17

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Which of the following gives all the solutions to the equation x² + 3x = 10

• -2 and -5

• -2 and 5

• 2 and -5

• 3 and -7

• 3 and 7

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

The expression (5q - 7)(6q + 8) is equivalent to:

• 11q² - 56

• 11q² + 2q - 56

• 30q² - 56

• 30q² - 27q - 56

• 30q² - 2q - 56

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

If 17q - 6(q + 3) = 17q - 3q, what is the value of q?

• -10

• -6

• -2

• 2

• 6

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What is the value of x in the equation $3\sqrt{x\ -\ 3\ }=\ 27$   

• 9

• 12

• 78

• 84

• 144

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

 $\ -x^2>\left|3\right|$ , given the inequality what are the real number values of x?

• 3 only

• 3, -3 only

•  $\sqrt{3\ }$  only

•  $\sqrt{3\ }$  and  $-\sqrt{3\ }$  only

• No possible real values

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Which of the following (x,y) pairs is the solution for the system of equations x + 2y = 2 and -2x + y = 16?

• (-6, 4)

• (-1, 1.5)

• (1, 0.5)

• (0, 1)

• (2, 0)

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

• -324

• -54

• 54

• 108

• 324

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2