ACT Math Review

 $3x\times\left(2x\right)^3\ =\ ?$  

•  $24x^4$  

•  $6x^4$  

•  $18x^4$  

•  $18x^3$  

Tags

CCSS.HSA.APR.A.1

If  $2+\sqrt{x-3}=5$  , then x = ?

• 4

• 6

• 10

• 12

• 52

Tags

CCSS.HSA.REI.A.2

What is the slope of a line parallel to the line  $2y-6x=3$  ?

• 3

• 2

•  $\frac{3}{2}$  

•  $-\frac{1}{3}$  

• -6

Tags

CCSS.8.EE.B.5

Which of the following represents an equation for which the sum of its roots is -3 and the product of its roots is 4?

• $x^2+4x-3=0$

• $x^2+3x+4=0$

• $x^2-3x+2=0$

• $2x^2+6x-3=0$

• $x^2-3x+4=0$

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

For all x for which the expression is defined,  $\frac{2x^2-6x-20}{2x^2-50}$  simplifies to:

•  $\frac{2}{5}$  

•  $1$  

•  $\frac{x-2}{x-5}$  

•  $\frac{x+2}{x+5}$  

•  $\frac{2\left(x+2\right)}{x+5}$  

Tags

CCSS.HSA.APR.D.6

If  $\log_b3=x$  and  $\log_b5=y$  , what is  $\log_b\ \frac{25}{27}$  ?

•  $2x+3y$  

•  $3x+2y$  

•  $2y-3x$  

•  $2y-3x$  

•  $3y-2x$  

In the complex numbers where  $i^2=-1,\ \frac{i-1}{i}=$  ?

•  $-1$  

•  $-1-i$  

•  $1-i$  

•  $1+i$  

•  $-1+i$  

Tags

CCSS.HSN.CN.A.3

If x-3y is 60% of 9y, what is the value of  $\frac{x}{y}$  ?  

•  $60$  

•  $18$  

•  $\frac{42}{5}$  

•  $\frac{18}{5}$  

•  $\frac{3}{5}$  

Tags

CCSS.7.EE.B.4A

For which of the following functions is f(x) = f(-x)?

•  $f\left(x\right)=x-3$  

•  $f\left(x\right)=x^3$  

•  $f\left(x\right)=-x$  

•  $f\left(x\right)=x^2-x+2$  

•  $f\left(x\right)=-x^2+4$  

Tags

CCSS.HSF.BF.B.3

If a is a real number such that 0 < a < 1, which of the following numbers has the largest value?

•  $a$  

•  $\frac{1}{a}$  

•  $a^2$  

•  $\frac{1}{a^2}$  

•  $-a^2$