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SAT Math Practice

Total questions: 20

Worksheet time: 1hrs 19mins

Name
Class
Date
1.

Which strategy should NOT be used in the math section?

a)

Draw a chart or diagram

b)

Think about all the info given in a question and how it's related

c)

Spend a bunch of time on a question you're unsure of

d)

Check your answers

2.

The majority of math questions come from which content area:

a)

Basic concepts like linear equations and inequalities

b)

Problem solving and data analysis

c)

Geometry, Trig, and Complex #s

d)

Advanced concepts like quadratics and higher-order equations

3.

About how many correct questions in section 3 (out of 20 questions) put you on pace for hitting the benchmark?

a)

2-3

b)

4-6

c)

8-10

d)

18-20

4.

 3x5y = 113x-5y\ =\ -11  
 x=13yx=1-3y  
What is the solution (x,y) to the system of equations above?

a)

(-5,2)

b)

(-2,1)

c)

(1,0)

d)

(4,-1)

5.

 y+2x=20y+2x=20  

 6x5y=126x-5y=12 
What is the solution (x,y) to the system of equations above?

a)

(-7,6)

b)

(-6,7)

c)

(6,7)

d)

(7,6)

6.

 3x4y=213x-4y=21  
 4x3y=144x-3y=14  
If (x,y) is a solution to the system of equations above, what is the value
of y - x?

a)

-18

b)

-5

c)

5

d)

8

7.

 In the xy-plane, what is the distance between the two x-intercepts of the parabola  y=x23x10y=x^2-3x-10 ?

a)

3

b)

5

c)

7

d)

10

8.

What are the solutions to x2+4x+2=0x^2+4x+2=0  ?

a)

 x=2±2x=-2\pm\sqrt{2}  

b)

 x=2±22x=2\pm2\sqrt{2}  

c)

 x=2±22x=-2\pm2\sqrt{2}  

d)

 x=4±22x=-4\pm2\sqrt{2}  

9.

 2x+5y=242x+5y=24  

 x+4y=15x+4y=15  
If (x,y) satisfies the system of equations above, what is the value of x + y?

a)

7

b)

8

c)

9

d)

10

10.

 5x=y+2-5x=y+2  

 2(2x1)=33y2\left(2x-1\right)=3-3y  
What is the solution (x,y) to the system of equations above?

a)

 (2,8)\left(-2,8\right) 

b)

 (1,3)\left(-1,3\right)  

c)

 (1,7)\left(1,-7\right)  

d)

 (3,17)\left(3,-17\right)  

11.

If a<1a<1 and 2a2+7a+3=02a^2+7a+3=0 , what is the value of  aa  ? 

a)

 12\frac{1}{2}  

b)

 11  

c)

 00   

d)

 32\frac{3}{2}  

12.

 3x2+10x=83x^2+10x=8  

If aa and bb are the two solutions to the equation above and  a>ba>b , what is the value of  b2b^2  ?

a)

 49\frac{4}{9}  

b)

 23\frac{2}{3}  

c)

 44  

d)

 1616  

13.

 2x4y=82x-4y=8  

 x+2y=4x+2y=4  
How many solutions (x,y) are there to the system of equations above?

a)

Zero

b)

One

c)

Two

d)

More than two

14.

A restaurant has two types of tables, rectangular ones that can each seat 4 people and circular tables that can each seat 8 people. If 144 people are enough to fill all 30 tables at the restaurant, how many rectangular tables does the restaurant have?

a)

12

b)

16

c)

20

d)

24

15.

 4x13y=84x-\frac{1}{3}y=-8  
 y=4x+16y=4x+16  
What is the solution (x,y) to the system of equations above?

a)

 (2,8)\left(-2,8\right)  

b)

 (1,12)\left(-1,12\right)  

c)

 (1,20)\left(1,20\right)  

d)

 (3,28)\left(3,28\right)  

16.

 y=0.5x+14y=0.5x+14  

 xy=18x-y=-18  
According to the system of equations above, what is the value of y?

a)

 10-10  

b)

 88  

c)

 8-8  

d)

 1010  

17.

 (x+6)2\left(x+6\right)^2  =

a)

 x236x^2-36  

b)

 x212x+36x^2-12x+36  

c)

 x2+36x^2+36  

d)

 x2+12x+36x^2+12x+36  

18.

What makes sure we get the best SAT score we can?

a)

Put my head down

b)

Cry hysterically

c)

Look at the time left and panic

d)

Try your best and not give up

19.

For  i=1i=\sqrt{-1} , which if the following is equivalent to  (53i)  (2+5i)\left(5-3i\right)\ -\ \left(-2+5i\right)  ?

a)

 38i3-8i  

b)

 3+2i3+2i  

c)

 78i7-8i  

d)

 7+2i7+2i  

20.

Which of the following complex numbers is equivalent to (3i)2\left(3-i\right)^2  ?

a)

 86i8-6i  

b)

 8+6i8+6i  

c)

 106i10-6i  

d)

 10+6i10+6i