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6AB Formative Review - Algebra

Total questions: 79

Worksheet time: 6hrs 51mins

Name
Class
Date
1.

How many terms does the following expression have: 3x-9+4+2x

a)

1

b)

2

c)

3

d)

4

2.

Combine the like terms in the expression: 5y+2+3y+6

a)

There are no like terms

b)

8y+2+6

c)

53y+12

d)

8y+8

3.

Combine the like terms in the expression: 12c+2+7c

a)

There are no like terms

b)

19c+2

c)

5c+2

d)

19c

4.

Combine the like terms in the expression: 5b+9+3b

a)

There are no like terms

b)

8b+9

c)

2b+9

5.

Combine the like terms in the expression: 5y+9+8y

(a)  

6.

Expand 3 (x+5)3\ \left(x+5\right)  

a)

3x3x  

b)

15

c)

18x18x  

d)

3x+153x+15  

7.

6 (x + y + 7)

a)

6x + 6y + 42

b)

12xy + 42

c)

6x + 6y + 7

d)

6x6y + 42

8.
-3(2c - 5)
a)
-6c - 15
b)
-6c + 15
c)
6c + 15
d)
6c - 15
9.
Fill in the blank:
4(3x + __) = 12x + 16
a)
4
b)
16
c)
4x
d)
12
10.
e(f + g) is equivalent to:
a)
ef + g
b)
f + g
c)
f + eg
d)
ef + eg
11.
-9(2g - 3)
a)
18g + 27
b)
-18g + 27
c)
-18g - 27
d)
18g - 27
12.

18(64v+24)\frac{1}{8}\left(64v+24\right)  

a)

7v + 3

b)

8v + 3

c)

9v + 3

d)

5v + 3

13.

13(15y6)\frac{1}{3}(15y-6)  

a)

5y + 2

b)

10y - 2

c)

5y - 2

d)

12y - 2

14.

13(15y6)\frac{1}{3}(15y-6)  

a)

5y + 2

b)

10y - 2

c)

5y - 2

d)

12y - 2

15.

Choose an expression equal to: 6(-8y + 2)

a)

48y + 12

b)

-48y - 12

c)

-48y + 12

d)

-48y - 12

e)

None of these

16.

Choose an expression equal to: 7(-9y - 9)

a)

-63y - 63

b)

63y + 63

c)

-63y + 63

d)

63y - 63

e)

None of these

17.

Choose an expression equal to: -2(x - y)

a)

-2x - 2y

b)

2x - 2y

c)

-2x + 2y

d)

2x + 2y

e)

None of these

18.

Choose an expression equal to: -4(2m - n)

a)

-8m + 4n

b)

8m - 4n

c)

8m + 4n

d)

-8m - 4n

e)

None of these

19.

Choose an expression equal to: -(5b + 3c)

a)

-5b + 3c

b)

-5b - 3c

c)

5b - 3c

d)

5b + 3c

e)

None of these

20.

Choose an expression equal to: 7(2a - 3b - c)

a)

14a - 21b - 7c

b)

14a + 21b + 7c

c)

14a + 21b - 7c

d)

14a - 21b + 7c

e)

None of these

21.
r + 12 = 25
a)
37
b)
13
c)
300
d)
Answer not Given
22.
y - 14 = 66
a)
80
b)
52
c)
79
d)
Answer Not Given
23.
y + 51 = 99
a)
140
b)
150
c)
48
d)
Answer not Given
24.
What equation matches 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)
Answer not Given
25.
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 = 39.98
b)
30.98 + c = 40
c)
c - 40 = 39.98
d)
c - 39.98 = 40
26.

What is the first step to solve for b:

2b = -16

a)

add 2 to both sides

b)

subtract 2 to both sides

c)

multiply 2 to both sides

d)

divide 2 to both sides

27.
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
28.

What is the first step to solving this equation?

a)

add -8 to both sides

b)

subtract -8 to both sides

c)

Multiply -8 to both sides

d)

divide -8 to both sides

29.
What what is the inverse operation of subtraction?
a)
addition
b)
subtraction
c)
multiplication
d)
division
30.
What would be the best first step to solving the equation?
a)
multiply both sides by 3
b)
multiply both sides by 4
c)
divide both sides by 3
d)
divide both sides by 4
31.
Solve the equation:
-2.6 + x = -4.6
a)
x = 2
b)
x = -2
c)
x = 7.2
d)
x = -7.2
32.

Evaluate: -35 + y= 70

a)

35

b)

-35

c)

105

d)

-105

33.

Solve the equation. Check your solution. It's - 7/8

a)

24

b)

147/8 or 18 3/8

c)

168

d)

-24

34.
7N = -49
a)
N= 16
b)
N= -7
c)
N= 7
d)
N = -8
35.
X/14 = 6
a)
X= 84
b)
X = -2
c)
X = 78
d)
X = -82
36.
-12X = -144
a)
X = -2
b)
X = -12
c)
X = 24
d)
X = 12
37.
A/10 = -2
a)
A = -20
b)
A = 20
c)
A = -2
d)
A = -5
38.

13 + x = -25

a)

12

b)

-38

c)

-12

d)

38

39.

n - 4 = 12

a)

12

b)

10

c)

8

d)

16

40.

-42 = -6y

a)

36

b)

7

c)

-36

d)

-7

41.

n5=5\frac{n}{5}=-5  

a)

-1

b)

-5

c)

-25

d)

35

42.

12x=7\frac{1}{2}x=7  

a)

3.5

b)

14

c)

7

d)

6.5

43.

34a=6\frac{3}{4}a=6  

a)

8

b)

12

c)

24

d)

18

44.

6b = 30

a)

x = 36

b)

x = 24

c)

x = 180

d)

x = 5

45.
Solve the equation:
x - 5.5 = 10.5
a)
x = 16
b)
x = -15
c)
x = 5
d)
x = -5
46.
Translate 4 more than x equals 7 into an equation and solve. 
a)
x+4=7
x = 11
b)
x+4=7
x = 3
c)
x-4=7
x = 11
d)
x-4=7
x=3
47.
What is the inverse operation of subtraction?
a)
Subtraction
b)
Multiplication
c)
Division
d)
Addition
48.

To solve the equation below, which inverse operation would you use?
 15=3t15=3t  

a)

Multiply both sides by 15.

b)

Divide both sides by 15.

c)

Multiply both sides by 3.

d)

Divide both sides by 3.

49.

Which equation below can be used to solve the following problem:

How many boxes of envelopes can you buy with $12 if one box costs $3?

a)

3x=123x=12 , where "x" is the number of boxes.

b)

3x=123x=12 , where "x" is the cost of one box of envelopes.

c)

12x=312x=3 , where "x" is the number of boxes.

d)

12x=312x=3 , where "x" is the cost of one box of envelopes.

50.

Sally had 10 peaches left at her roadside fruit stand. She went to the orchard and picked more peaches to stock up the stand. There are now 73 peaches at the stand. Write an equation that could be used to find how many peaches she picked. Then solve for the unknown quantity.

a)

p=73+10p=73+10 , where "p" stands for the number of peaches. The solution to the equation is 83 peaches.

b)

73+p=1073+p=10 , where "p" stands for the number of peaches. The solution to the equation is -63 peaches.

c)

10+73=p10+73=p , where "p" stands for the number of peaches. The solution to the equation is 83 peaches.

d)

p+10=73p+10=73 , where "p" stands for the number of peaches. The solution to the equation is 63 peaches.

51.
During an NBA playoff game, Jordan scored 12 points more than Pippen. If Pippen had 33 points how many points did Jordan score?
a)
45 points
b)
33 points
c)
21 points
d)
12 points
52.

Six decreased by twice a number.

a)

2x - 6

b)

6 < 2x

c)

6 - x

d)

6 - 2x

53.
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)
4m + 8
b)
8m - 4
c)
8m + 4
d)
4m - 8
54.

What word phrase can you use to represent "5x + 2"?

a)

5 times a number plus 2

b)

2 more than the product of 5 and a number

c)

a number times the sum of 5 and 2

d)

the sum of 5 times a number and 2

55.
Nate has 6 fewer CDs than Emily.  If c represents the number of CDs Emily has, which expression tells how many CDs Nate has?
a)
6-c
b)
6+c
c)
c-6
d)
c+6
56.
Students brought in 300 canned goods for the food drive on Monday. On Tuesday students brought in x more than the day before. Write an expression for how many canned goods students brought on Tuesday.
a)
300 + x
b)
300 - x
c)
300x
d)
x - 300
57.

For a walk-a-thon a sponsor committed to give you a flat fee of $5 plus $2 for every mile m you walk. Write an expression for the total amount you will collect from your sponsor at the end of the walk-athon.

a)

5+2

b)

5+2m

c)

5m+2

d)

5-2m

e)

2m-5

58.

You and four friends plan a surprise party. Each of you contributes the same amount of money m for food. Write an algebraic expression for the total amount of money contributed for food.

a)

m+4

b)

4m

c)

m/4

d)

m-4

e)

4-m

59.

How many terms are there in this expression below?

2m + 3n - 7

a)

3

b)

5

c)

2

d)

1

60.

Kelly has some money she has already saved. After mowing two lawns on Saturday, she adds $40 to her savings. How much money has Kelly saved altogether? Let s represent the amount of money she already has in savings.

a)

s + 40

b)

40s

c)

40 - s

d)

40/s

61.

Kelly has some money she has already saved. After mowing two lawns on Saturday, she adds $40 to her savings. How much money has Kelly saved altogether? Let s represent the amount of money she already has in savings.

a)

s + 40

b)

40s

c)

40 - s

d)

40/s

62.

Tyrell has a sister that is y years younger than him. If Tyrell is 12 years old, how old is his sister? Which algebraic expression could be used to find the age of Tyrell's sister?

a)

y - 12

b)

12 / y

c)

12 + y

d)

12 - y

63.

If g represents Edna’s grade, which expression shows that she earned 5 points extra credit?

a)

g + 5g\ +\ 5

b)

g 5g\ -\ 5

c)

5g5g

d)

g5\frac{g}{5}

64.

If c represents the cookies the Joe bought, which expression shows how much he split between himself and 3 siblings?

a)

c4\frac{c}{4}

b)

4c4c

c)

c + 4c\ +\ 4

d)

c 4c\ -\ 4

65.

Translate this phrase into an algebraic expression.

The difference of 3 times a number and 7

Use the variable n to represent the unknown number.

a)

3 - 7n

b)

3n - 7

c)

3n + 7

d)

3 / 7n

66.
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)
4m + 8
b)
8m - 4
c)
8m + 4
d)
4m - 8
67.

Translate this phrase into an algebraic expression.

The quotient of twenty and a number

Use the variable n to represent the unknown number.

a)

20/n

b)

20-n

c)

n+20

d)

n-20

68.

Translate this phrase into an algebraic expression.

2 times the difference of a number and 11

Use the variable t to represent the unknown number.

a)

2t - 11

b)

2(t - 11)

c)

2(t / 11)

d)

2 x t - 11

69.

What word phrase can you use to represent "5x + 2"?

a)

5 times a number plus 2

b)

2 more than the product of 5 and a number

c)

a number times the sum of 5 and 2

d)

the sum of 5 times a number and 2

70.

Write a verbal expression for:

2a+6

a)

6 more than the product of 2 and a number

b)

6 less than the product of 2 and a number

c)

6 more than the quotient of 2 and a number

d)

twice a number plus 6

71.

Translate this phrase into an algebraic expression.

80 more than a number

Use the variable B to represent the unknown number.

a)

80B

b)

B-80

c)

B+80

d)

B÷80

72.

Translate this phrase into an algebraic expression.

2 times the sum of a number and 15

Use the variable B to represent the unknown number.

a)

2(B+15)

b)

2B+15

c)

2B×15

d)

2×15B

73.

Write a word phrase to represent the following algebraic expression:


9n+1

a)

the quotient of 9 and a number plus 1

b)

the product of 9 and a number plus 1

c)

1 more than the quotient of 9 and a number

d)

1 more than the product of 9 and a number

74.

Write a word phrase to represent the following algebraic expression:

 z89\frac{z}{8}-9  

a)

the quotient of 8 and a number minus 9

b)

the product of 8 and a number minus 9

c)

the quotient of a number and 8 minus 9

d)

9 less than the quotient of a number and 8

75.

Write a word phrase to represent the following algebraic expression:

 q+5q+5  

a)

5 plus a number

b)

the difference of 5 and a number

c)

5 more than a number

d)

the difference of a number and 5

76.

Write a word phrase to represent the following algebraic expression:

 12x12x  

a)

the product of a number and 12

b)

the product of 12 and a number

c)

12 times a number

d)

a number times 12

77.

Translate this phrase into an algebraic expression.

the difference of 33 and number

Use the variable c to represent the unknown number.

a)

c-33

b)

33-c

c)

33c

d)

33/c

78.

Translate this phrase into an algebraic expression.

5 less than a number

Use the variable v to represent the unknown number.

a)

5 - v

b)

5v

c)

5 + v

d)

v - 5

79.

Write a word phrase to represent the following algebraic expression:

 125t\frac{12}{5t}  

a)

the quotient of 12 and 5 times a number

b)

the quotient of the product of 5 and a number and 12

c)

the quotient of 12 and the product of 5 and a number

d)

the quotient of 5 times a number and 12