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Thanksgiving Math Challenge

Total questions: 78

Worksheet time: 3hrs 3mins

Name
Class
Date
1.

4x

What is the value of the expression when x = 3?

a)

24

b)

18

c)

12

d)

9

2.

What is the value of the expression 3(324)3(3^2 - 4) ?

a)

15

b)

21

c)

27

d)

9

3.

Which expression is equivalent to 5(x - 3)?

a)

x - 2

b)

x - 15

c)

5x - 3

d)

5x - 15

4.

12b26\frac{1}{2}b^2-6

What is the value of the expression when b = 6?

(a)  

5.

An egg carton contains 12 eggs. Select all of the expressions that show how many eggs are contained in a crate with 12 egg cartons.

a)

12^2

b)

12^12

c)

12 + 2

d)

12 · 2

e)

12 · 12

6.

5(x-1)

What is the value of the expression when x = 5?

a)

5

b)

10

c)

15

d)

20

7.

The expression c(16x + 14) is equivalent to 32x + d

What are the values of c and d?

a)

c = 2, d = 28

b)

c = 1, d = 14

c)

c = 4, d = 56

d)

c = 3, d = 42

8.

An expression is shown. 3h+12(2h+6)3h + \frac{1}{2}(2h + 6) . Select the two expressions that are equivalent to the given expression.

a)

B) 5h + 6

b)

D) 3h + h + 3

c)

C) 7h + 12

d)

E) 3h + h + 6

e)

A) 4h + 3

9.

What is the value of 343^4 ?

a)

81

b)

64

c)

27

d)

9

10.

Which expression is equivalent to 13(9x+12)+4x+6\frac{1}{3}(9x + 12) + 4x + 6 ?

a)

A) 7x+187x + 18

b)

B) 7x+107x + 10

c)

C) 133x+6\frac{13}{3}x + 6

d)

D) 13x+1813x + 18

11.

Which expression represents "one-half of x"?

a)

x · 2

b)

x ÷ 2

c)

x - 1/2

d)

x + 1/2

12.

Select the three expressions that are equivalent to 8h + 4g.

a)

2(4h + 2g)

b)

4(2h + g)

c)

2h + g

d)

1/8 (8h + 4g)

e)

4h + 4h + 3g + g

13.

What is an expression that is equivalent to 9(3x + 5 + x) without using parentheses?

a)

36x + 45

b)

27x + 45

c)

9x + 15

d)

12x + 5

14.

Nicole and Kim go apple picking. Kim picks n apples. Nicole picks 8 fewer apples than Kim. Create an expression to represent the number of apples that Nicole picks.

a)

n + 8

b)

n - 8

c)

8 - n

d)

n

15.

Which statement correctly describes the expression 4 • (5 + 1)?

a)

the sum of two factors

b)

the product of two factors

c)

the quotient of two factors

d)

the difference of two factors

16.

An expression is given. 4x + 2

Which expression is equivalent?

a)

6x

b)

4(x + 2)

c)

2(2x + 1)

d)

2(2x + 2)

17.

What is the value of the expression 34423^4 \cdot 4^2 ?

a)

1296

b)

576

c)

144

d)

256

18.

5x + 12 when x = 5

19.
Evaluate 3x + 8   if x = 2
20.
Evaluate when x = 8:
2x + x - 10
21.

Evaluate the expression when x = 3. 
2x2 - 5 = (a)  

Choose from the below words
31
12
7
13
22.

Find the solution for the equation: 23r =35\frac{2}{3}r\ =\frac{3}{5}  

a)

r =  810\frac{8}{10}  

b)

r =  109\frac{10}{9}  

c)

r =  910\frac{9}{10}  

d)

r =  35\frac{3}{5}  

23.

Find the solution for the equation: 13m =45\frac{1}{3}m\ =\frac{4}{5}  

a)

m =  3253\frac{2}{5}  

b)

m =  2252\frac{2}{5}  

c)

m =  29102\frac{9}{10}  

d)

m =  3353\frac{3}{5}  

24.

Find the solution for the equation: 15d =28\frac{1}{5}d\ =\frac{2}{8}  Put your answer in simplest form:

a)

d =  1281\frac{2}{8}  

b)

d =  1141\frac{1}{4}  

c)

d =  1251\frac{2}{5}  

d)

d =  1261\frac{2}{6}  

25.

Find the solution for the equation: 16v =238\frac{1}{6}v\ =2\frac{3}{8}  Put your answer in simplest form:

a)

v =  142814\frac{2}{8}  

b)

v =  143814\frac{3}{8}  

c)

v =  141414\frac{1}{4}​  

d)

v =  141614\frac{1}{6}  

26.

5 14=13n 5\ \frac{1}{4}=\frac{1}{3}n\  Challenge Question

a)

15 3415\ \frac{3}{4}  

b)

15 4515\ \frac{4}{5}  

c)

16 2316\ \frac{2}{3}  

d)

19 1819\ \frac{1}{8}  

27.

Solve for y:

20 = y4\frac{y}{4}

a)

5

b)

24

c)
80
d)
40
28.

Solve for x:

34x = 18\frac{3}{4}x\ =\ 18

a)

24

b)

32

c)

12

d)

36

29.

Solve for x:

15 = x3\frac{x}{3}

a)

5

b)

45

c)

30

d)

60

30.

x+12 =34x+\frac{1}{2}\ =\frac{3}{4}

a)
1/2
b)
3/4
c)
1/4
d)
1/3
31.

y13 =23y-\frac{1}{3}\ =\frac{2}{3}

a)

1

b)

2/3

c)

1/3

d)

3/6

32.

z+15 =45z+\frac{1}{5}\ =\frac{4}{5}

a)

1

b)

3/5

c)

4/5

d)

2/5

33.

z+215 =5z+2\frac{1}{5}\ =5

a)

2 452\ \frac{4}{5}

b)

7 157\ \frac{1}{5}

c)

4 154\ \frac{1}{5}

d)

3 453\ \frac{4}{5}

34.

x+314 =6x+3\frac{1}{4}\ =6

a)

2 342\ \frac{3}{4}

b)

3 343\ \frac{3}{4}

c)

2 142\ \frac{1}{4}

d)

3 143\ \frac{1}{4}

35.

Look at the models.

Which statement is true about the shaded part of the models?

a)

All of the models are not equivalent because they do not show the same amount shaded.

b)

Only model 1 and 4 are equivalent because both show the same amount shaded.

c)

All of the models are equivalent because they all show the same amount shaded.

d)

None of the models are equivalent.

36.

Which of the following is closest to 14\frac{1}{4}

(a)  

37.

What fraction does the numberline represent?

38.

Which diagram shows 1/3? (one-third)

39.

Which diagram shows 9/5? (nine-fifths)

40.

Plot a point at 2/8.

41.

13×15\frac{1}{3}\times\frac{1}{5}

a)

115\frac{1}{15}

b)

18\frac{1}{8}

c)

215\frac{2}{15}

d)

28\frac{2}{8}

42.

Number 2 represents the.....

a)
number of parts the whole is divided into
b)
number of parts you have
43.

Number 5 represents the.....

a)
number of parts the whole is divided into
b)
number of parts you have
44.

Cody ate 23\frac{2}{3} of his burger, Lola ate 16\frac{1}{6} of her burger.

Which statement is true?

a)

Lola ate more because 26\frac{2}{6} is greater than 23\frac{2}{3} .

b)

Cody ate more because 23\frac{2}{3} is greater than 26\frac{2}{6} .

45.

Name the part of the fraction that is NOT shaded.

a)

1/2

b)

5/8

c)

3/8

d)

1/4

46.

Which point represents 23\frac{2}{3} on the number line? Tap the correct place

47.

Sort the following fractions:

Categorize the following

1/3

2/5

1/100

3/6

50/100

6/12

5/6

6/11

14/20

9/7

12/5

20/10

less than 1/2
equal to 1/2
greater than 1/2
greater than 1 whole
48.

Reorder the following fractions from smallest to largest.

a)

3/1000

b)

3/8

c)

6/12

d)

9/10

e)

14/9

1)
2)
3)
4)
5)
49.
How many terms are in the following expression?
8n + 2 - 7x
a)
1
b)
2
c)
3
d)
4
50.
What is/are the coefficient(s) of
 2x + 9 + 7x?
a)
2, 9, 7
b)
2, 7
c)
2x, 7x
d)
9
51.
What is/are the constant(s) of 2x + 9 + 7x?
a)
2, 9, 7
b)
2, 7
c)
2x, 7x
d)
9
52.

Simplify: x + 3x + 6x + x

a)

9x

b)

11x

c)

2x + 9x

d)

Can't be simplified

53.

Simplify: 7t - 3t + t - 3t

a)

2t

b)

8t - 6t

c)

14t

d)

Can't be simplified

54.

Simplify: 4k + 6k - 3k + 3s - s

a)

13k + 3s

b)

7k + 2s

c)

7k + 4s

d)

Can't be simplified

55.

Simplify: m + m + m + m

a)

4m

b)

m4

c)

m

d)

Can't be simplified

56.
Which expression is equivalent to
v + v + v + v + v?
a)
5v
b)
v5
c)
v + 5
d)
v5
57.

Combine like terms to simplify the expression:

4x + x + 3x4x\ +\ x\ +\ 3x  

a)

8x8x  

b)

7x7x  

c)

13x13x  

d)

12x12x  

58.
55.78 + 4.6 =
a)
60.28
b)
55.32
c)
56.44
d)
60.38
59.
7.05 - 4.6 =
a)
2.45
b)
3.65
c)
11.65
d)
11.45
60.
94 - 4.8 =
a)
89.2
b)
5.4
c)
90.80
d)
98.8
61.
2 - 0.43 =
a)
0.45
b)
1.57
c)
0.41
d)
2.43
62.
Chicago was predicted to receive 1.254'' of rain. Chicago actually received .875'' of rain. How far was the prediction off of the actual amount of rain?
a)
1.379''
b)
2.129''
c)
.379''
d)
Can not find the solution
63.

Kelly has $20. She spends $2.15 on a Slurpee and $6.58 on candy. How much money does Kelly have left?

a)

$28.73

b)

$11.27

c)

$17.85

d)

$13.42

64.

Which inequality matches the graph?

a)

x<3

b)

x>3

c)

x<3

d)

x>3

65.

You must spend at least $10 at the grocery store to get a free reusable shopping bag. Which inequality represents the amount you need to spend to get a free shopping bag?

a)

x<10

b)

x>10

c)

x>10

d)

x<10

66.

Antavius must score at least 4 more points in the game this weekend than he did in the last game to be the top scorer for his team. In the last game he scored 13 points. Which inequality represents what Antavius must score, s, to be the team's top scorer?

a)

s>4

b)

s>13

c)

s>17

67.
All students must get at least a 60% for the year in order to pass math.
a)
x = 60
b)
x > 60
c)
x ≥ 60
d)
x ≤ 60
68.
You spent less than 5 hours on homework each night.
a)
x > 5
b)
x < 5
c)
x ≤ 5
d)
x ≥ 5
69.
x is no more than 13
a)
x < 13
b)
x > 13
c)
x ≥ 13
d)
x ≤ 13
70.
Match the graph with its inequality.
a)
a > 11
b)
a < 11
c)
a ≥ 11
d)
a ≤ 11
71.
All students must get at least a 60% for the year in order to pass math.
a)
x = 60
b)
x > 60
c)
x ≥ 60
d)
x ≤ 60
72.

Which expression matches the phrase "x divided by 5"?

a)

5x\frac{5}{x}

b)

x5\frac{x}{5}

73.

add ten to the product of a number and three

a)

10(3y)

b)

10y - 3

c)

10y + 3

d)

10 + 3y

74.

a number decreased by 25

a)

k - 25

b)

k + 25

c)

25 < k

d)

25 - k

75.
8 less than y
a)
8-y
b)
8/y
c)
y-8
d)
y+8
76.

twice of the number, x

(a)  

77.
Write an algebraic expression for:
three times a number plus 16
a)
3(16)+n
b)
16n+3
c)
3n+16
78.

What is a coefficient?

a)

a letter that represents an unknown number

b)

a number that is ALONE

c)

the number next to a letter