SAT Math

If x > 1, which of the following is equivalent to $\frac{1}{\frac{x-1\ }{\text{2}}+\frac{\text{}x+5}{\text{3}}}$  

•  $\frac{\text{5}x+7}{\text{6}}$  

•  $\frac{6}{2x+4}$  

•  $\frac{6}{5x+7}$  

•  $\frac{1}{30x+42}$  

Which of the following is equivalent to  $\frac{4+8x}{12x}$  

•  $\frac{1+8x}{3x}$  

•  $\frac{4+2x}{3x}$  

•  $\frac{1+2x}{3x}$  

• 1

If 4³ + 4³ + 4³ + 4³ = 2ⁿ , what is the value of n?

• 2

• 4

• 6

• 8

If  $\left(7^a\right)\left(7^b\right)=\frac{7^c}{7^d}$  , what is d in terms of a, b, and c?

•  $\frac{c}{ab}$  

•  $c-a-b$  

•  $a+b-c$  

•  $c-ab$  

If     $\frac{1}{3}x+\frac{1}{6}x+\frac{1}{9}x\ =\ 33$  , what is the value of x?

• 18

• 27

• 54

• 72

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.NS.A.1

Alex, Bob, and Carl all collect seashells. Bob has half as many seashells as Carl. Alex has three times as many seashells as Bob. If Alex and Bob together have 60 seashells, how many seashells does Carl have?

• 15

• 20

• 30

• 40

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.RP.A.1

CCSS.6.RP.A.3

What is the slope of the line that passes though (3, 2) and is parallel to the line that passes through (-2,3) and (2,-3)?

• -3/2

• -2/3

• 2/3

• 3/2

The water level h, in feet, in a large aquarium can be modeled by h = 100-3d, where d is the number of days that have passed since the aquarium was last refilled. Based on the model, how does the water level change each day?

• Decreases by 3 feet

• Increases by 3 feet

• Decreases by 100 feet

• Increases by 100 feet

The functions  $f$   and  $g$  are defined below. Which of the following is equal to $f\left(8\right)$   ?

 $f\left(x\right)\ =\ 4x-3$  
 $g\left(x\right)\ =\ 3x+5$  

•  $g\left(1\right)$  

•  $g\left(3\right)$  

•  $g\left(5\right)$  

•  $g\left(8\right)$  

Tags

CCSS.6.EE.A.2

CCSS.6.EE.A.3

CCSS.6.EE.B.5

CCSS.6.EE.B.6

Which of the following is true about the graph of        $=2x^2\ -6x\ +\ 3\$  ?

• The graph of y is tangent to the x-axis.

• The graph of y intersects the x-axis at 2 points.

• The graph of y lies entirely above the x-axis.

• The graph of y lies entirely below the x-axis.