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Worksheets

SAT Math Algebra

Total questions: 50

Worksheet time: 3hrs 30mins

Name
Class
Date
1.
Solve  12 - 6y = 24
a)
-1
b)
-2
c)
-3
d)
-4
2.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
3.
7(1 - y) = -3(y - 2)
a)
x = 1/4
b)
x = 4
c)
x = 5
4.

Solve for p
A = 12paA\ =\ \frac{1}{2}pa

a)

A12a = pA-\frac{1}{2}a\ =\ p

b)

2Aa=p\frac{2A}{a}=p

c)

A2a=p\frac{A}{2a}=p

d)

2Aa = p2A-a\ =\ p

5.

Solve for d
C = πdC\ =\ \pi d

a)

C  π=dC\ -\ \pi=d

b)

C + π=dC\ +\ \pi=d

c)

πC=d\pi C=d

d)

Cπ=d\frac{C}{\pi}=d

6.

Solve for p
SA =hp + 2BSA\ =hp\ +\ 2B

a)

SA2Bh=p\frac{SA-2B}{h}=p

b)

SAh2B=p\frac{SA}{h}-2B=p

c)

SAh2B=p\frac{SA-h}{2B}=p

d)

SA2Bh=pSA-2B-h=p

7.

Solve for h
V = lwhV\ =\ lwh

a)

V lw = hV\ -l-w\ =\ h

b)

Vlw = hV-lw\ =\ h

c)

Vlw= h\frac{V}{lw}=\ h

d)

Vlw=hV-\frac{l}{w}=h

8.

Solve for r:
LA = 2πrhLA\ =\ 2\pi rh

a)

LA2πh = rLA-2\pi h\ =\ r

b)

LA2πh= r\frac{LA}{2\pi h}=\ r

c)

LA2πh = r\frac{LA}{2}-\pi h\ =\ r

d)

2LAπh= r\frac{2LA}{\pi h}=\ r

9.

Solve for h:
V = 13πr2hV\ =\ \frac{1}{3}\pi r^2h

a)

3Vπr2=h\frac{3V}{\pi r^2}=h

b)

13V πr2=h\frac{1}{3}V\ -\pi r^2=h

c)

3V  πr2=h3V\ -\ \pi r^2=h

d)

13Vπr2=h\frac{1}{3}V\pi r^2=h

10.

Solve for c:

ax2+bx+c=0ax^2+bx+c=0

a)

c = ax2bxc\ =\ -ax^2-bx

b)

c = ax2+bxc\ =\ ax^2+bx

c)

c=ax2bxc=\frac{ax^2}{bx}

d)

c=ax2bxc=ax^2-bx

11.

9y+8=9y-8

a)

No Solution

b)

One Solution

c)

Infinite Solution

12.

-10y-6 = -10y-6

a)

No Solution

b)

One Solution

c)

Infinite Solutions

13.

3(x-8)=3x-24

a)

No Solution

b)

One Solution

c)

Infinite Solutions

14.

6(m+3)=2(m+5)

a)

No solution

b)

One Solution

c)

Infinite Solutions

15.

2(m+3)=2m+12

a)

No Solution

b)

One Solution

c)

Infinite Solutions

16.
a)

No Solution

b)

One Solution

c)

Infinite Solutions

17.
What equation matches this situation?
John wants to buy an MP3 Player that costs $30.98.  How much change did he receive if he gives the cashier $40.
a)
40 + c = 30.98
b)
30.98 + c = 40
c)
c - 40 = 30.98
d)
c - 30.98 = 40
18.
Grandpa Gump is 63 years old. His age is 2 years less than 5 times the age of Billy Gump. How could I find out how old Billy is?
a)
x/5 - 2 = 63
b)
5x - 2 = 63
c)
2x - 5 = 63
d)
5x + 2 = 63
19.
m plus the product of 6 and n 
a)
m + 6n
b)
m - 6 + n
c)
6m + n
d)
m + 6 + n 
20.
How would you translate
x - 5 = 12 into words?
a)
x - 5 = 12
b)
The product of x and 5 is twelve
c)
x less than 5 is 12
d)
Five less than x is 12.
21.

Which choice models this situation?

Robyn had some video games, then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10/4 = v

d)

4v = 10

22.

Translate the following:


"the product of a number and negative 8"

a)


8n-8n

b)

8n-\frac{8}{n}

c)

n×8n\times8

d)

n8n-8

23.

Translate this phrase into an algebraic equation:

A number tripled subtracted from 60 is the same as 21.

a)

3c − 60 = 21

b)

60 − 3 = 21c

c)

60 − 3c = 21

d)

c(60 − 3) = 21

24.
Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.
a)
8 - 4m
b)
8m - 4
c)
8m + 4
d)
4m - 8
25.
What does "product" mean?
a)
Multiply
b)
Divide
c)
Add
d)
Subract
26.
What is the difference between an expression and equation?
a)
Expressions have an equal sign and equations do not have an equal sign
b)
Expressions do not have an equal sign and equations do have an equal sign
c)
There is not a difference
d)
Expressions do not have variables and equations have variables
27.
Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.
a)
8 - 4m
b)
8m - 4
c)
8m + 4
d)
4m - 8
28.

Four more than six times a number is 18.

a)

4x + 16 = 18

b)

4x + 6 = 18

c)

6x + 4 = 18

d)

18= 4 + 6

29.

the difference of twice a number and four is 12

a)

(2a + 4)= 15

b)

(2a - 4) = 12

c)

(2 - 4) = 12

d)

a - 4 = 12

30.

Three fourths of a number is 20

a)

34\frac{3}{4} m = 20

b)

undefined m = 14

c)

undefined m = 21

d)

undefined m = 23

31.

The ratio of a number to 15 is 35

a)

x15\frac{x}{15} = 35

b)

15x = 35

c)

undefined = 36

d)

15x\frac{15}{x} = 35

32.

4(x+3) - 5

a)

4x + 7

b)

4x - 2

c)

4x - 17

d)

4x + 2

33.

6(7 + x) + 5x

a)

6x + 13

b)

x + 42

c)

6x + 42

d)

11x + 42

34.

6(3x - 2) + 4x

a)

22x - 12

b)

7x + 4

c)

22x - 2

d)

18x + 2

35.

5(y + 6) + 4

a)

5y + 15

b)

5y + 34

c)

5y + 10

d)

y + 34

36.

5(1 - y) - 3y

a)

-4y + 5

b)

-2y + 5

c)

3y + 5

d)

-8y + 5

37.

Simplify: 50 - (35 - 10 ⋅ 2)

a)

50

b)

0

c)

35

d)

-5

38.

Simplify:

63 ÷ 7 - 3 ⋅ 2 + 4

a)

7

b)

-9

c)

-1

d)

3

39.

Simplify:

8 + [ (4 + 5) ⋅ 2 ]

a)

18

b)

48

c)

26

d)

34

40.

Simplify:

[ (19 -5) ÷ 2] ⋅ 7

a)

14

b)

2

c)

42

d)

49

41.

Simplify:

3[16 - (3 + 7) ÷ 5]

a)

3

b)

7.6

c)

42

d)

3.6

42.

Simplify:

(21 - 1) ⋅ 2 ÷ 4

a)

10

b)

5

c)

4

d)

40

43.

Simplify:

24 ÷ 4 ⋅ 2 + (32 - 1 + 6)

a)

5

b)

14

c)

17

d)

26

44.

Simplify:

14 - 8 + 4 ⋅ 23

a)

60

b)

38

c)

30

d)

12

45.

Simplify:

2(9 - 2 + 3) ÷ 4

a)

5

b)

2

c)

4

d)

19

46.

Which PEMDAS math sentence says the following:

The difference of 8 and 7, multiplied by 4 (Be careful)!

a)

(8 ⋅ 7) - 4

b)

8 - 7 ⋅ 4

c)

8 - (7 ⋅ 4)

d)

4(8 - 7)

47.

Which PEMDAS math sentence says the following:

The quotient of 21 and 3, multiplied by 6 (careful)...

a)

6(21 ÷ 3)

b)

21 ÷ (3 ⋅ 6)

c)

21 ⋅ 3 ÷ 6

d)

21 ÷ 6 ⋅ 2

48.

Simplify:

16 ÷ (4 ⋅ 2 - 7)

a)

-5

b)

1

c)

-1

d)

16

49.
4.032
a)
Rational 
b)
Irrational
50.
√31
a)
Rational
b)
Irrational