SAT Math Review

Equations and Polynomials

100

If x+4x-3x+8=0, then x=

-4

200

If xy+z=y, what is x in terms of y and z?

(y-z)/y or 1-(z/y)

300

If (x-1)/3 = k and k = 3, what is the value of x?

10

400

If (p-q)^2=25 and pq=14, what is the value of (p+q)^2?

81

500

3x+4y=-23

2y-x=-19

What is the solution (x,y) to the system of equations above?

(3,-8)

Equations and Inequalities

100

If (x+7)(x-3)=0, then x=

-7 or 3

200

If 2a=3b and 4a+b=21, then b=

b=3

300

If a/b = 2, what is the value of 4b/a?

2

400

If 3x-y = 12, what is the value of 8^x/2^y ?

2¹²

500

|t-7| = 4 and |9-t| = 2 What value of t satisfies both of the above equations?

t=11

Manipulating Graphs

100

f(x+4) shifts the graph 4 spaces to the...

left!!!

200

g(x) = ax² + 24

For the function g defined above, a is a constant and g(4) = 8. what is the value of g(-4)?

8

300

The graph of y=2^(x-3) can be obtained by shifting the graph of y=2^x ...

3 units to the right

400

Which equation represents the line that is the reflection of the line y=2x-3 over the x-axis?

y=-2x-3

500

If the point (-4,-8) is reflected over the x-axis, the new point has what (x,y) coordinates?

(-4,8)

Functions

100

Let the function G be defined by g(x)=x^3/4-7. If g(k)=57, then k=

256

200

If the function F is defined by f(x)=5x+3, then 2f(x)-3=

10x+3

300

If the function K is defined by k(h)=(h+1)², then k(x-2)=

x² -2x +1

400

If f(x) = x² + x - 4, what is f(-3)?

2

500

If f(x) = -2x + 5, what is f(-3x) equal to?

6x + 5

Special Functions

100

If in the equation y=3^x, if x is increased by 2, then y is multiplied by?

multiplied by 9

200

The graph of a quadratic function intersects the x-axis at x=-2 and x=6. What is the factored form of the original quadratic function?

(x+2)(x-6)

300

A certain population of insects starts at 16 and doubles every 6 days. What is the population after 60 days?

2¹⁴ or 16,384

400

After a single sheet of paper is folded in half, there are two layers of paper. The same sheet of paper is repeatedly folded in half. If function F represents the number of layers of paper that results after the original sheet of paper is folded a total of x times, which equation could represent this function?

f(x)=2^x

500

Ari begins painting at 12:00 noon. At 12:30 PM he estimates that 15.75 gallons of paint are left, and at 2:00 PM he estimates that 10.5 gallons of paint remain. If the paint is being used at constant rate, how many gallons of paint did Ari have when he started the job?

17.5 gallons