Free Printable 9/3 SAT Questions

1.

Which expression is equivalent to $\left(8x^3+8\right)-\left(x^3-2\right)$ ?

HINT: Combine like terms by distributing the negative OR use calculator and match

a)

$8x^3+6$

b)

$7x^3+10$

c)

$8x^3+10$

d)

$7x^3+6$

2.

$\left(5x^3-3\right)-\left(-4x^3+8\right)$

The given expression is equivalent to $bx^3-11$ , where b is a constant. What is the value of b?

HINT: Nothing to compare with calculator so distribute and combine like terms

(a)

3.

Which expression is equivalent to $5x^5-6x^4+8x^3$ ?

HINT: Distribute answers and compare or plug-in calculator

a)

$x^4\left(5x-6\right)$

b)

$x^3\left(5x^2-6x+8\right)$

c)

$8x^3\left(5x^2-6x+1\right)$

d)

$6x^5\left(-6x^4+8x^3+1\right)$

4.

$7\left(2x-3\right)=63$

Which equation has the same solution as the given equation?

HINT: Find the solutions (x-intercepts) with the calculator.

a)

$2x-3=56$

b)

$2x-3=9$

c)

$2x-21=63$

d)

$2x-21=70$

5.

Which expression is equivalent to $\left(x^2+11\right)^2+\left(x-5\right)\left(x+5\right)$ ?

a)

$x^4+23x^2-14$

b)

$x^4+23x^2+96$

c)

$x^4+12x^2+121$

d)

$x^4+x^2+146$

6.

Which expression is equivalent to $\sqrt[7]{x^9y^9}$ , where x and y are positive?

a)

$\left(xy\right)^{\frac{7}{9}}$

b)

$\left(xy\right)^{\frac{9}{7}}$

c)

$\left(xy\right)^{16}$

d)

(xy)^63

7.

Which expression is equivalent to $5x^2-50xy^2$ ?

HINT: Not just x so distribute the answers to find the match.

a)

$5x\left(x-10y^2\right)$

b)

$5x\left(x-50y^2\right)$

c)

$5x^2\left(10xy^2\right)$

d)

$5x^2\left(50xy^2\right)$

8.

The shaded region shown represents the solutions to which inequality?

HINT: Plug-in the inequalities and compare to the picture

a)

$y<-1+3x$

b)

$y<-1-3x$

c)

$y>-1+3x$

d)

$y>-1-3x$

9.

A total of 165 people contributed to a charity event as either a donor or a

volunteer. 130 people contributed as a donor. How many people

contributed as a volunteer?

a)

35

b)

130

c)

165

d)

330

10.

The minimum value of x is 12 less than 6 times another number n. Which inequality shows the possible values of x?

a)

$x\le6n-12$

b)

$x\ge6n-12$

c)

$x\le12-6n$

d)

$x\ge12-6n$

11.

$f\left(x\right)=45x+600$

The function f gives the monthly fee f(a), in dollars,

a facility charges to keep x crates in storage. What is

the monthly fee, in dollars, the facility charges to keep

50 crates in storage?

(a)

12.

At a state fair, attendees can win tokens that are worth a different

number of points depending on the shape. One attendee won S square

tokens and C circle tokens worth a total of 1,120 points. The equation

80S + 90C = 1,120 represents this situation. How many more points is

a circle token worth than a square token?

a)

950

b)

90

c)

80

d)

10

13.

A veterinarian recommends that each day a certain rabbit should eat 25

calories per pound of the rabbit's weight, plus an additional 11 calories.

Which equation represents this situation, where c is the total number of

calories the veterinarian recommends the rabbit should eat each day if

the rabbit's weight is a pounds?

a)

$c=25x$

b)

$c=36x$

c)

$c=11x+25$

d)

$c=25x+11$

14.

For the linear function f, the graph of y = f(x) in the xy-plane has a

slope of 39 and passes through the point (0, 0). Which equation defines f?

a)

$f\left(x\right)=-39x$

b)

$f\left(x\right)=\frac{1}{39}x$

c)

$f\left(x\right)=x-39$

d)

$f\left(x\right)=39x$

15.

Line r in the xy-plane has a slope of 4 and passes through the

point (0, 6). Which equation defines line r?

a)

$y=-6x+4$

b)

$y=6x+4$

c)

$y=4x-6$

d)

$y=4x+6$

16.

The function f is defined by $f\left(x\right)=\frac{1}{2}\left(x+6\right)$ . What is the value of f(4)?

a)

20

b)

12

c)

10

d)

5

17.

Lorenzo purchased a box of cereal and some strawberries at the grocery

store. Lorenzo paid $2 for the box of cereal and $1.90 per pound for the

strawberries. If Lorenzo paid a total of $9.60 for the box of cereal and the

strawberries, which of the following equations can be used to find p, the

number of pounds of strawberries Lorenzo purchased? (Assume there is

no sales tax.)

a)

$1.90p+2=9.60$

b)

$1.90p-2=9.60$

c)

$1.90+2p=9.60$

d)

$1.90-2p=9.60$

18.

$k^2-53=91$

What is the positive solution to the given equation?

Remember: Change the k to an x in the calculator

a)

144

b)

72

c)

38

d)

12

19.

How many distinct real solutions does the given equation have?

$x^2=-841$

a)

Exactly one

b)

Exactly two

c)

Infinitely many

d)

Zero

20.

$x=8$

$y=x^2+8$

The graphs of the equations in the given system of equations intersect at

the point (x, y) in the xy-plane. What is the value of y?

a)

8

b)

24

c)

64

d)

72

9/3 SAT Questions

Total questions: 20

Worksheet time: 50mins

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