Free Printable NEW TUESDAY ENRICHMENT Y7-Y9

1.

If Ken's age is x, his brother age is 2 years younger. What is his brother's age?

a)

x + 2

b)

x - 2

c)

2 + x

d)

2 - x

2.

I have $w and spend $200 of it. How much will I have?

a)

w - 200

b)

200 - w

c)

w + 200

d)

w - 20

3.

There are g passengers on each bus. There are 5 buses. How many passengers are there?

a)

5g

b)

g + 5

c)

5 - g

d)

g - 5

4.

Subtract a number from 10

a)

n-10

b)

10+n

c)

10/n

d)

10-n

5.

5 less than v

a)

5 - v

b)

5v

c)

5 + v

d)

v - 5

6.

Twice a number g.

a)

g - 2

b)

2g

c)

2/g

d)

2 + g

7.

The sum of 6 and x

a)

x + 6

b)

6/x

c)

x + 4

d)

6x

8.

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

9.

Mr. Krabs has 100 more dollars than Squidward. Which equation represents this situation?
Mr. Krabs = K
Squidward = S

a)

S = 100 + K

b)

S = 100K

c)

K = 100S

d)

K = 100 + S

10.

Write the phrase as an expression. "a number x divided by 2"

a)

2÷x

b)

2x

c)

x÷2

d)

x

11.

Which algebraic expression shows the total of b and 14?

a)

14 - b

b)

14/b

c)

14 + b

d)

b - 14

12.

six times the number of girls
Let g = number of girls

a)

6 + g

b)

6g

c)

g - 6

13.

a number decreased by 12

a)

12-n

b)

12+n-5

c)

n-12

d)

12n

14.

Three times a number increased by nine

a)

3h-9

b)

3(h-9)

c)

3(h+9)

d)

3h+9

15.

g divided by 9

a)

9g

b)

g-9

c)

g/9

d)

9/g

16.

Write the phrase as an expression. "10 less than a number n"

a)

10-n

b)

n-10

c)

n+10

d)

10-n

17.

There are m strawberries in a box. How many strawberries will there be in total if you add 1 more?

a)

1m

b)

m x 1

c)

m + 1

d)

2m

18.

The sum of seven and x

a)

7-x

b)

x-7

c)

7x

d)

7+x

19.

The quotient of seven and w

a)

7/w

b)

7w

c)

w/7

d)

w7

20.

The product of 7 and j..

a)

7j

b)

j+3

c)

j-3

d)

j/3

21.

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

22.

Which of these statements matches the expression:

a - 7

a)

7 more than a

b)

a more than 7

c)

7 less than a

d)

a less than 7

23.

Simplify the expression

(a)

24.

The sum of seven and $x$

a)

$7-x$

b)

$x-7$

c)

$7x$

d)

$7+x$

25.

What are the like terms in the expression below?
$4x^2-3x-2x$

a)

$-3x,-2x$

b)

$3x,2x$

c)

$-3x,2x$

d)

$3x,-2x$

26.

Simplify $3c+2c+6$

a)

5c + 6

b)

11c

c)

c + 6

d)

5c - 6

27.

Simplify 2d + 3 + d + 6.

a)

3d + 9

b)

5d + 6d

c)

3d + 6

d)

2d + 9

28.

Simplify 6m + m - 4m

a)

10m

b)

3m

c)

2m

d)

11m

29.

Simplify the following expression:
$3+5x+8-2x$

a)

7x - 11

b)

7x + 11

c)

-3x + 11

d)

3x + 11

30.

Simplify the expression:
$-8x+4x$

a)

-12x

b)

-4x

c)

4x

d)

12x

31.

Simplify the following expression:
$5+4x+2x-8$

a)

13 + 6x

b)

6x - 3

c)

6x - 13

d)

6x + 3

32.

w increased by 5

a)

w - 5

b)

5w

c)

w + 5

d)

$w\div5$

33.

Translate this phrase into an algebraic expression.
24 more than Victoria's test score.
Use $x$ to represent Victoria's test score.

a)

24x

b)

x - 24

c)

x + 24

d)

$\frac{x}{24}$

34.

Translate this phrase into an algabraic expression.
78 less than Amari's test score
Use c to represent Amari's test score.

a)

c - 78

b)

c + 78

c)

$c\div78$

d)

78 - c

35.

The quotient of a number and twelve

a)

x + 12

b)

$\frac{12}{x}$

c)

x - 12

d)

$x\div12$

36.

twice a number plus six

a)

2x + 6

b)

2x - 6

c)

$2x\div6$

d)

2x (6)

37.

Simplify:
$5x-6x+7-8x$

a)

-9x + 7

b)

-9x - 7

c)

9x + 7

d)

9x - 7

38.

Simplify:
$-x+y-z+10z+2x-10y$

a)

x - 9y + 9z

b)

x - 9z - 9y

c)

-x - 9z - 9y

d)

-x - 9 - 9y

39.

Simplify $−3x+7+2x−5$

a)

−x + 2

b)

−6x − 35

c)

−x - 2

d)

−5x + 2

40.

Simplify $3x+5+2x+1$

a)

5x + 5

b)

5x + 6

c)

x + 4

d)

6x + 5

41.

What is the constant term in this expression:
$-4x+5+10x-x^2$

a)

-4x

b)

5

c)

10x

d)

-x²

42.

Simplify $3x+4y+13x-6y+x$

a)

17x - 2y

b)

16x + 10y

c)

17x - 10y

d)

17x + 2y

43.

Simplify $7y+5z+3y+2z$

a)

10y + 7z

b)

7y + 10z

c)

12y + 5z

d)

19yz

44.

Simplify $4h+h+5h-6h$

a)

16h

b)

3h

c)

4h

d)

h

45.

Simplify $3k+10j-2k-4j$

a)

k + 6j

b)

5k + 14j

c)

13k + 6j

d)

4kj

46.

Simplify $4x^2+7x^2$ .

a)

11x⁴

b)

10x²

c)

28x²

d)

11x²

47.

Simplify $-7xy+x+y+x-3xy$

a)

10xy +2x + y

b)

-10xy + 2x + y

c)

-10xy + y

d)

-10xy + x + y

48.

Expand $2(4x-y)$

(a)

49.

Expand $-5(2x+2y-2)$

(a)

50.

Simplify: $7y^2\ -5y\ +\ 9y\ -\ 5y^2$

a)

$6y^{2\ }$

b)

$2y^{2\ }+\ 4y\$

c)

$12y^{2\ }+\ 14y$

d)

Can't be simplified

51.

Simplify $4x^2-2x^2+2y+6y^2-y+x^2+y^2$

a)

3x² + 3xy + 6y

b)

6y² + 2xy + 2x

c)

7x² + 35x

d)

3x² + 7y² + y

52.

Expand $3\left(2x\ -1\right)$

(a)

53.

Expand

$-10\left(6-8x\right)$

(a)

54.

work out!

$3x-2y+6x-2y\ +3$

a)

6x - 2y + 3

b)

3x - 2y + 9

c)

9x - 4y + 3

d)

5x - 2y + 3

55.

$5a+b-4a-b$

a)

a

b)

-b

c)

4a

d)

b

56.

Simplify

$0.9g+0.8g$

a)

1.5g

b)

1.7g

c)

1.4g

d)

1.6g

57.

Simplify

$34.23y-12.3y$

a)

21.93y

b)

34.23y

c)

21.93y - 12.3y

d)

-12.3y

58.

Write in algebraic expression:

n subtracted from 4

a)

4 - n

b)

n + 4

c)

4 - n + 4

d)

n - 4

59.

4(2t - 5)

a)

8t - 20

b)

8t - 5

c)

6t - 20

d)

6t - 9

60.

7(g + 3)

a)

7g + 21

b)

7g + 3

c)

10g

d)

g + 21

61.

-4(2h + 3)

a)

-8h - 12

b)

-8h - 3

c)

-8h + 3

d)

-8h +12

62.

10(5 - 4f)

a)

50 - 40f

b)

50 - 4f

c)

50 + 40f

d)

50 + 4f

63.

-6(2 - y)

a)

-12 + 6y

b)

- 12 - 6y

c)

-12 - y

d)

-12 + y

64.

2(5m + 3) + 1

a)

10m + 7

b)

10m + 6

c)

10m + 1

d)

10m + 4

65.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

66.

4(p - 6)

a)

-4p - 24

b)

4p + 24

c)

4p + 24

d)

4p - 24

67.

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

68.

-3(2c - 5)

a)

-6c - 15

b)

-6c + 15

c)

6c + 15

d)

6c - 15

69.

5x + 8y - 3x - 15y

a)

2x - 7y

b)

8x + 23y

c)

8x - 23y

d)

2x + 7y

70.

8(x + 5)

a)

8x + 13

b)

8x + 5

c)

8x + 40

d)

13x

71.

3(2y - 7)

a)

6y - 7

b)

6y - 21

c)

5y - 7

d)

5y - 21

72.

Simplify 3x + 2y - 2x + 3y.

a)

x + 5y

b)

5x + 5y

c)

5x + y

d)

5x - 5y

73.

Which answer has the integers in order from least to greatest?

a)

− 9, -5, -3, 0, 4, 3

b)

− 9, -5, -3, 0, 3, 4

c)

− 5, -9, -3, 0, 4, 3

d)

3, 4, 0, -3, -5, -9

74.

I have 8 in the ten thousands place.
5 in the ones place.

2 in the hundreds place.
What number am I?

a)

852

b)

8205

c)

80052

d)

80205

75.

In 10.269 , what digit is in the tenths place?

a)

6

b)

9

c)

0

d)

2

76.

Order the decimals from least to greatest.0.38, 0.4, 0.36

a)

0.38, 0.4, 0.36

b)

0.4, 0.36, 0.38

c)

0.36, 0.4, 0.48

d)

0.36, 0.38, 0.4

77.

Round 384,237 to the nearest thousand.

a)

385,000

b)

384,237

c)

400,000

d)

384,000

78.

-10 + 4

a)

-14

b)

14

c)

-6

d)

6

79.

-5 - (- 3)

a)

-8

b)

8

c)

-2

d)

15

80.

Simplify
$x^2+2-3x^2+1$

a)

0

b)

$-2x^2+3$

c)

$4x^2+3$

d)

$2x^2-3$

81.

Simplify

$9x^2+14x-x^2+6x$

a)

8x²+20x

b)

9x²+20x

c)

10x²+20x

d)

8x²+8x

82.

Simplify
$x^2+2-3x^2+1$

a)

0

b)

$-2x^2+3$

c)

$4x^2+3$

d)

$2x^2-3$

83.

Simplify

$9x^2+14x-x^2+6x$

a)

8x²+20x

b)

9x²+20x

c)

10x²+20x

d)

8x²+8x

84.

The product of five and w

a)

$5+w$

b)

$5w$

c)

$w-5$

d)

$5-w$

85.

The number h decreased by eight

a)

$h-8$

b)

$8h$

c)

$h+8$

d)

$8-h$

86.

Simplify:
$5x-6x+7-8x$

a)

$-9x+7$

b)

$-9x-7$

c)

$9x+7$

d)

$9x-7$

87.

Simplify:
$-x+y-z+10z+2x-10y$

a)

$x-9y+9z$

b)

$x-9z-9y$

c)

$-x-9z-9y$

d)

$-x-9-9y$

88.

Simplify:
$14k+4+18-16k$

a)

$30k+14$

b)

$30k-14$

c)

$-2k+22$

d)

$-2k+14$

89.

Simplify the expression $19p-6p+p$

a)

$p$

b)

$13p$

c)

$26p$

d)

$14p$

90.

Simplify $3x-7+8x+2$

a)

$11x-5$

b)

$-5x-9$

c)

$11x-9$

d)

$-5x-5$

91.

Simplify $-4x+3y-9x-7y$

a)

$13x+10y$

b)

$-13x-4y$

c)

$5x-4y$

d)

$-5x-10y$

92.

Simplify the Expression: $21-8x-4+9x$

a)

-4x -17

b)

17x + 25

c)

x + 17

d)

17x + 17

93.

Simplify

3x^2-5x+2-7x^2-4x-9

a)

$-4x^2-1x-7$

b)

$-4x^2+x-7$

c)

$10x^2-9x+11$

d)

$-4x^2-9x-7$

94.

The sum of seven and $x$

a)

$7-x$

b)

$x-7$

c)

$7x$

d)

$7+x$

95.

Simplify $3c+2c+6$

a)

5c + 6

b)

11c

c)

c + 6

d)

5c - 6

96.

Simplify 6m + m - 4m

a)

10m

b)

3m

c)

2m

d)

11m

97.

w increased by 5

a)

w - 5

b)

5w

c)

w + 5

d)

$w\div5$

98.

Simplify $−3x+7+2x−5$

a)

−x + 2

b)

−6x − 35

c)

−x - 2

d)

−5x + 2

99.

Simplify $3x+4y+13x-6y+x$

a)

17x - 2y

b)

16x + 10y

c)

17x - 10y

d)

17x + 2y

100.

Simplify $4x^2+7x^2$ .

a)

11x⁴

b)

10x²

c)

28x²

d)

11x²

101.

Simplify $-7xy+x+y+x-3xy$

a)

10xy +2x + y

b)

-10xy + 2x + y

c)

-10xy + y

d)

-10xy + x + y

102.

Simplify $4x^2-2x^2+2y+6y^2-y+x^2+y^2$

a)

3x² + 3xy + 6y

b)

6y² + 2xy + 2x

c)

7x² + 35x

d)

3x² + 7y² + y

103.

Simplify
$5a+b-4a-b$

a)

a

b)

-b

c)

4a

d)

b

104.

Write in algebraic expression:

n subtracted from 4

a)

4 - n

b)

n + 4

c)

4 - n + 4

d)

n - 4

105.

The product of five and w

a)

$5+w$

b)

$5w$

c)

$w-5$

d)

$5-w$

106.

The quotient of seven and w

a)

$\frac{7}{w}$

b)

$7w$

c)

$\frac{w}{7}$

d)

$w7$

107.

Twenty decreased by x

a)

$20+x$

b)

$\frac{20}{x}$

c)

$x-20$

d)

$20-x$

108.

Translate: twelve less than a number

a)

$12-x$

b)

$x-12$

c)

$12x$

d)

$x+12$

109.

Translate: 10 less than twice a number

Let n = a number

a)

$2n-10$

b)

$10(2n)$

c)

$10-2n$

d)

$n-10$

110.

A number squared increased by 1

a)

$1+\sqrt{2}$

b)

$x^2+1$

c)

$x^2-1$

d)

$\sqrt{2}+1$

111.

Simplify a³ x a⁵

a)

a¹⁵

b)

a²

c)

a⁸

d)

a^-2

112.

A submarine was 1800 ft below sea level. It dove another 1500 feet below its initial position. Which integer represents its new location?

a)

-300

b)

-1300

c)

-3300

d)

300

113.

Divide

-12\div-4=

a)

3

b)

-3

114.

Divide.

\frac{-9}{-3}=

a)

3

b)

-3

115.

-3 +(- 2)

a)

-1

b)

5

c)

-5

d)

-6

116.

-3 + 12

a)

-15

b)

-9

c)

9

d)

15

117.

In New York, the temperature was -14°F in the morning. If the temperature dropped 7°F, what is the temperature now?

a)

-7°F

b)

-21°F

c)

7°F

d)

21°F

118.

15 - 21

a)

6

b)

26

c)

-6

d)

-26

119.

At sunrise, the outside temperature was 1° below zero. By lunch time, the temperature rose by 17° and then fell by 4° by night. What was the temperature at the end of the day?

a)

14°

b)

13°

c)

12°

d)

11°

120.

A submarine is 150 below sea level while an airplane is 375 above sea level. What is the difference between the height of the submarine and the airplane?

a)

-525

b)

525

c)

325

d)

-325

121.

-18 + (-6)

(a)

122.

-15 - 3

(a)

123.

Order the numbers from least to greatest:
{43, 0, -9, -4, -88}

a)

{-88, -4, -9, 0, 43}

b)

{43, 0, -4, -9, -88}

c)

{-88, -9, -4, 0, 43}

d)

{-4, -9, -88, 0, 43}

124.

Fill in the correct symbol: $-4$ ______ $-5$ .

a)

$<$

b)

$>$

c)

$=$

d)

$\ge$

125.

$19-(-5)$

(a)

126.

$-2+(-9)$

(a)

127.

$-1-(-23)$

(a)

128.

The temperature on a cold winter day starts out at 10 degrees, but it drops rapidly to 24 degrees due to a strong cold front moving in. What is the current temperature?

a)

14

b)

34

c)

-14

d)

-34

129.

$7-21$

(a)

130.

$-4+10+(-2)$

(a)

131.

- 2 + - 9

a)

-11

b)

11

c)

-7

d)

7

132.

-20 + (-11)

a)

31

b)

9

c)

-9

d)

-31

133.

-4 + -13 = ?

a)

9

b)

17

c)

-9

d)

-17

134.

-18 + -6

a)

24

b)

-24

c)

12

d)

-12

135.

-29 + 30

(a)

136.

27 + ( -19 )

(a)

137.

-21 + ( 30 )

(a)

138.

A monkey sits on a limb that is 25 ft. above the ground. He swings up 16 ft then jumps down 13 ft. How far off the ground is the monkey now?

a)

54 ft

b)

28 ft

c)

31 ft

d)

25 ft

139.

-15 + 24

(a)

140.

28 + ( -14 )

(a)

141.

Round 5.592 to the nearest hundredth.

a)

5.60

b)

5.50

c)

6.59

d)

5.59

142.

Round 1.823 to the nearest whole number.

a)

1

b)

1.8

c)

2

d)

2.8

143.

Round 47.941 to the nearest tenth.

a)

47.9

b)

48

c)

47.91

d)

48.1

144.

Round 43.827 to the nearest hundredth.

a)

43.82

b)

43.83

c)

43.87

d)

44

145.

Round 18.888 to the nearest two decimal places.

a)

19

b)

18.9

c)

18.89

d)

18.88

146.

Round 18.888 to the nearest two decimal places.

a)

19

b)

18.9

c)

18.89

d)

18.88

147.

Round 0.432 to the nearest two decimal places.

a)

0.4

b)

0.3

c)

0.43

d)

0.44

148.

Round 5.592 to the nearest HUNDREDTH.

a)

5.60

b)

6.59

c)

5.50

d)

5.59

NEW TUESDAY ENRICHMENT Y7-Y9

Total questions: 148

Worksheet time: 7hrs 34mins

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