Free Printable Y10A Term4 Algebra Review

1.

3x - 4 = x + 10

a)

x = 7

b)

x = -7

c)

x = 0

d)

x = 4

2.

x + 7 = 2x + 2

a)

x = -4

b)

x = -5

c)

x = 3

d)

x = 5

3.

5x + 1 = x + 9

a)

x = 2

b)

x = 10

c)

x= 0

d)

x = 3

4.

3x - 4 = x + 10

a)

x = 7

b)

x = -7

c)

x = 0

d)

x = 4

5.

x - 2 = 2x + 1

a)

x = 3

b)

x = 6

c)

x = -3

d)

x = 5

6.

x + 7 = 2x + 2

a)

x = -4

b)

x = -5

c)

x = 3

d)

x = 5

7.

5x + 1 = x + 9

a)

x = 2

b)

x = 10

c)

x= 0

d)

x = 3

8.

x + 7 = 3x + 3

a)

x = 2

b)

x = 12

c)

x = 7

d)

x = 0

9.

Solve for x:
6(2x + 1) = 18

a)

3

b)

17/12

c)

1

d)

2

10.

Solve:
3(x - 2) = 18

a)

6.7

b)

4

c)

8

d)

-4

11.

Which equation represents gradient intercept form?

a)

y=5+2x

b)

5y=x+5

c)

y=2x+5

d)

4y+2x=8

12.

What does "b" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

x-intercept

d)

y - axis

13.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

x-intercept

d)

y - axis

14.

How would you write the equation with a slope of 2/3 and a y-intercept of -3

a)

y=3/2x+3

b)

y=2/3-3

c)

y=2/3x-3

d)

y=2/3x+3

15.

What is the y-intercept of this graph?

a)

(0,1)

b)

(0,-2)

c)

(0,0)

d)

(0,3)

16.

Which equation best represents the line on the graph?

a)

y= 1/2x

b)

y= -1/2x

c)

y = 2x

d)

y = -2x

17.

How would you write the equation with a gradient of 2/3 and a y-intercept of -3

a)

y=3/2x+3

b)

y=2/3-3

c)

y=2/3x-3

18.

Write the equation of the line in gradient-intercept form with gradient m = 4 through the point (-2, 5).

a)

y = 4x - 13

b)

y = 4x + 13

c)

y = 4x - 3

d)

y = 4x + 3

19.

Given the two points: (0, 6) and (6,18), write the equation of the line.

a)

y = 2x + 6

b)

y = 1/2x + 6

c)

y = 1/3x + 6

d)

y = 3x + 6

20.

-7 + 5x - 3x - 12x

a)

10x - 7

b)

-10x - 7

c)

-10x + 7

d)

10x + 7

21.

Simplify by combining like terms:

7f+8g+4f+3f+6f+2g

a)

$20f+11g$

b)

$21f+10g$

c)

$20f+10g$

d)

$22f+10g$

22.

Simplify: 7j + 3k + 10j - k

a)

3j + 4k

b)

17j + 2k

c)

19jk

d)

Can't be simplified

23.

Which of the following is equivalent to 8(5f - 7) + 3f ?

a)

43f - 7

b)

-13f

c)

43f - 56

d)

40f -7 + 3f

24.

Simplify:
4(8x + 1) - 6(1 - 8x)

a)

-80x - 2

b)

80x + 2

c)

-80x + 2

d)

80x - 2

25.

Simplify the following expression:
-10x - 9x + 1

a)

-19x + 1

b)

-19x² + 1

c)

-10x - 8

d)

-19x - 1

26.

Simplify the following expression:
-10x + 15 - 3x + 2

a)

13x² + 17

b)

-13x² + 13

c)

-13x + 17

d)

-7x + 17

27.

Simplify the following expression by combining like terms:
3(2x - 4) + 6x - 1

a)

12x - 13

b)

12x - 5

c)

11x - 2

d)

-x

28.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

29.

Expand using the distributive property

-2(3x + 4y + 1)

a)

-6x + 8y + 2

b)

-6x - 8y + 2

c)

-6x - 8y - 1

d)

-6x - 8y - 2

30.

One number is 4 times as large as another. Their sum is 45. What are the numbers? Select the two that apply.

a)

6

b)

9

c)

12

d)

27

e)

36

31.

The larger of two numbers is 12 more than the smaller number. If the sum of the two numbers is 74, find the two numbers.

a)

12 and 24

b)

31 and 43

c)

24 and 36

d)

51 and 63

32.

The length of a rectangle is 3cm more than its width. If the perimeter is 42cm, find the dimensions of the rectangle.

a)

9 cm by 12 cm

b)

3 cm by 14 cm

c)

10 cm by 11 cm

d)

8 cm by 13 cm

33.

Find two consecutive numbers whose sum is 115.

a)

57 and 58

b)

44 and 45

c)

56 and 57

d)

225 and 226

34.

p + 95 = 215

What is the best first step to solve this equation?

a)

Add 95 to both sides.

b)

Subtract 215 from both sides.

c)

Subtract 95 from both sides.

d)

Subtract "p" from both sides.

35.

Marco and Polo are making the world's largest apple pie. They will need 215 apples. Marco has already picked 95 apples. How many apples will Polo need to pick so they have enough?

Select the equation that best describes this problem.

a)

p - 95 = 215

b)

215 + p = 95

c)

p + 95 = 215

d)

95p = 215

36.

$\frac{s}{5}=3$

Find s

a)

15

b)

$\frac{3}{5}$

c)

1.667

d)

8

37.

Johnny borrowed $270 from you and he needs 3 months to pay it back. How much money does he need to give you each month?

This problem can be shown by the equation

3m = 270

What are the steps and solution to this problem?

a)

Divide both sides by 3, m = 90

b)

Multiply both sides by 3, m = 810

c)

Subtract 3 from both sides, m = 267

d)

none of these

38.

Find three consecutive numbers that add to give you 54.

(a)

39.

Find two consecutive numbers that add to give you 197.

(a)

40.

Find two consecutive odd numbers that add to give you 28.

(a)

41.

Which of the following setups would be used to find four consecutive integers?

a)

n
n+2
n+4
n+6

b)

n
2n
4n
6n

c)

n+1
n+2
n+3
n+4

d)

n
n+1
n+2
n+3

42.

Five less than twice a number is equivalent to 47.

a)

5 - 2x = 47

b)

2x - 5 = 47

c)

5x - 2 = 47

d)

2 - 5x = 47

43.

The sum of three consecutive integers is 147. Which equation can be used to find the first integer?

a)

3x = 147

b)

x + 3 = 147

c)

x + x + 1 + x + 2 = 147

d)

x ⋅ x ⋅ x = 147

44.

The sum of four consecutive odd integers is equivalent to 232. Which equation can be used to find the first integer?

a)

4x = 232

b)

x + x + 2 + x + 4 + x + 6 = 232

c)

x + x + 1 + x + 3 + x + 5 = 232

d)

x ⋅ x ⋅ x ⋅ x = 232

45.

Select all of the quadratic functions.

a)

b)

c)

$f\left(x\right)=4x^2-6x+14$

d)

$y=\left(x+7\right)\left(x-3\right)$

46.

What type of function is shown?

a)

exponential

b)

linear

c)

quadratic

d)

square root

47.

Range is:

a)

All x values, from left to right.

b)

All y values, from bottom to top.

c)

All x values from bottom to top.

d)

All y values from left to right.

48.

Domain is:

a)

All x values, from left to right.

b)

All y values, from bottom to top.

c)

All x values from bottom to top.

d)

All y values from left to right.

49.

The parent function for this graph has which domain?

a)

$x\ne0$

b)

$x>0$

c)

$x\le0$

d)

All real numbers

50.

_{What is the y-intercept of the line?}

a)

y = 1/2

b)

y = 1

c)

y = -1/2

d)

y = -1

51.

Which of these represents gradient-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

52.

Solve the equation
4(2x-5)=7(2x+4)

a)

8

b)

-8

c)

-1.5

d)

1.5

53.

Find the gradient of the line containing these two points: (-5, 1) and (-6, -3)

a)

m = 4/11

b)

m = 1/4

c)

m = -2

d)

m = 4

54.

Which of the following solutions fits the graph shown?

a)

x < -2

b)

x > -2

c)

x ≤ -2

d)

x ≥ -2

55.

Solve.
2x - 3 = 4x+7

a)

x = 7

b)

x = -1

c)

x = 5

d)

x = -5

56.

What is the solution set for −4x + 10 ≥ 5x + 55?

a)

F

b)

G

c)

H

d)

J

57.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

58.

Find the gradient of the line that passes through: (6,7) and (4,2)

a)

2/5

b)

-5/2

c)

5/2

d)

-1/2

59.

Find the gradient of the line that passes through: (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

60.

What is the gradient in the equation y=2x + 3?

a)

2

b)

3

c)

5

d)

Cannot be Determined

61.

What is the y-intercept of the line with the equation
$y\ =\ -2x\ +\ 4$

a)

$-2$

b)

$2$

c)

$4$

d)

$-4$

62.

What is the gradient of the line with the equation $y\ =\ -\frac{3}{2}x\ +\ 4$

a)

$-\frac{3}{2}$

b)

$\frac{3}{2}$

c)

$4$

d)

$-4$

63.

$-2\left(x+7\right)\le-8$

a)

$x\le3$

b)

$x\ge3$

c)

$x\ge-3$

d)

$x\le-3$

64.

Match the graph to the inequality $9\le2m+2-3$

a)

A

b)

B

c)

C

d)

D

65.

$\frac{3y-3}{y}\div\frac{7y-7}{3y^2}$ is

a)

$\frac{9y}{7}$

b)

$\frac{9y^3}{21y-21}$

c)

$\frac{21y^2-42y+21}{3y^3}$

d)

$\frac{7\left(y^2-2y+1\right)}{y^2}$

66.

$y^2+\frac{1}{y^2}$ is not equal to

a)

$\frac{y^2+1}{y^2}$

b)

$\left(y+\frac{1}{y}\right)^2$

c)

$\left(y-\frac{1}{y}\right)^2+2$

d)

$\left(y-\frac{1}{y}\right)^2-2$

67.

$\frac{x}{x^2-25}-\frac{8}{x^2+6x+5}$ gives

a)

$\frac{x^2-7x+40}{\left(x-5\right)\left(x+5\right)}$

b)

$\frac{x^2+7x+40}{\left(x-5\right)\left(x+5\right)\left(x+1\right)}$

c)

$\frac{x^2-7x+40}{\left(x-25\right)\left(x+1\right)}$

d)

$\frac{x^2+10}{\left(x-25\right)\left(x+1\right)}$

68.

Which of the following should be added to make 𝑥⁴ + 64 a perfect square .

a)

4𝑥²

b)

16𝑥²

c)

8𝑥²

d)

-8𝑥²

69.

Graph of linear equation is a .

a)

straight line

b)

circle

c)

parabola

d)

hyperbola

70.

The number of points of intersection of the quadratic polynomial x² + 4x + 4 with the X axis is

a)

0

b)

1

c)

0 OR 1

d)

2

71.

If a=2 b=7, solve

(16 + a) - (b + 5) =

a)

11

b)

2

c)

6

d)

0

72.

Solve using Order of Operations.

2³+ (50 - 23) =

a)

24

b)

34

c)

35

d)

33

73.

Explain how to solve the following problem:
7X = 34

a)

Multiply both sides by 7

b)

Divide both sides by 7

c)

Add 7 to both sides

d)

Subtract 7 from both sides

74.

What term is represented by the algebra tiles?

a)

3

b)

-3

c)

3x

d)

3x²

75.

Which algebraic expression is shown above?

a)

$2x-1$

b)

$x+\left(-2\right)$

c)

$-x$

d)

$-x+2$

76.

What term is represented by the algebra tiles?

a)

8

b)

-8

c)

-8x

d)

-8x²

77.

Which algebraic expression is shown above?

a)

$6x+3$

b)

$-3x+6$

c)

$3x+6$

d)

$9x$

78.

Which algebraic expression is shown above?

a)

$2y^2+3x-3x^2$

b)

$-2y^2-3x+3x^2$

c)

$3y^2+3y-2x^2$

d)

$-2y^2+3x-3x^2$

79.

Which algebraic expression is shown above?

a)

$2y-4+3x^2$

b)

$-2y-4+3x^2$

c)

$-2y+4-3x^2$

d)

$2y+4-3x^2$

80.

Simplify the following if:

yellow = 1

green = x

a)

5 + 3x

b)

8x

c)

8

d)

3x + 5x

81.

What expression/polynomial is modeled by the algebra tiles?

a)

2x² + 4x + 1

b)

2x² - 4x + 1

c)

x² - 4x + 1

d)

6x + 1

82.

What expression/polynomial is modeled by the algebra tiles?

a)

-3x² + 7

b)

-3x² - 7

c)

3x + 7

d)

-3x + 7

83.

What expression/polynomial is modeled by the algebra tiles?

a)

-2x² - 4 + 3

b)

-2x² + 2x + 3

c)

-2x² - 4x + 3

d)

-2x² + 4x + 3

84.

Simplify: $(3x^2-4x+8)+(4x^2+2x-12)$

a)

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

b)

$7x^2+2x+4$

c)

$12x^2-8x-96$

d)

$7x^2-2x-4$

85.

Simplify: $(7x^2-12x+1)-(5x^2+2x-7)$

a)

$2x^2-10x-6$

b)

$2x^2-14x-6$

c)

$2x^2-14x+8$

d)

$12x^2-10x-6$

86.

Simplify: $(x-3)^2$

a)

$x^2-9$

b)

$x^2+9$

c)

$x^2-6x+9$

d)

$x^2-6x-9$

87.

Factor: $x^2-16$

a)

$(x-4)^2$

b)

$(x+4)(x-4)$

c)

$(x-8)(x+8)$

d)

None of these

88.

Factor: $x^2-4x-12$

a)

(x+12)(x-1)

b)

(x-4)(x+3)

c)

(x-6)(x+2)

d)

(x+6)(x-2)

89.

Factor: $x^2+7x$

a)

x(x+7)

b)

(x+1)(x+7)

c)

(x+7)(x-7)

d)

None of these

90.

Factor: $2x^2+16x+30$

a)

2(x+3)(x+5)

b)

(x+10)(2x+3)

c)

2(x+2)(x+15)

d)

None of these

91.

Which equation match the line that contains the points

(3, -5) and (5, - 1)

a)

y - 5 = 2(x + 3)

b)

y + 5 = 2(x - 3)

c)

y - 3 = 2(x + 5)

d)

y + 3 = 2(x - 5)

92.

The line with the equation

y + 1 = -3(x - 5),

contains the point (5, -1)

and has a gradient of _______.

a)

-1

b)

1

c)

-3

d)

5

93.

Match the equation

of the line that goes through

the point (6,1) and has a gradient of -3?

a)

y - 6 = -3(x - 1)

b)

y + 6 = -3(x + 1)

c)

y - 1 = -3(x - 6)

d)

y + 1 = -3(x + 3)

94.

What is the equation of a line with a gradient of 4 and a y-intercept of 2?

a)

y = -4x + 2

b)

y = -2x + 4

c)

y = 4x + 2

d)

y = 2x + 4

95.

What is the y-intercept in the equation $y=-2x+5$

a)

-2

b)

3

c)

5

d)

Cannot be Determined

96.

What is the sum of these fractions?

a)

4/5

b)

3/20

c)

17/20

d)

4/20

97.

Simplify.

a)

$\frac{6x\ +\ 5}{15}$

b)

$\frac{2x\ +\ 1}{3}$

c)

$\frac{6x\ +\ 1}{3}$

d)

$\frac{11x}{15}$

98.

$\frac{9x}{5}-\frac{x}{2}$

a)

$\frac{8x}{10}$

b)

$\frac{13x}{10}$

c)

$\frac{11x}{10}$

d)

$\frac{14x}{10}$

99.

Divide. Write in the simplest form.

\frac{1}{2\ }\ \div\ \frac{2}{3}

a)

3/4

b)

2/3

c)

3/5

100.

Simplify $\frac{10}{x}\div\frac{4x^3}{2}=$

a)

$\frac{20}{x^4}$

b)

$\frac{x^4}{5}$

c)

$\frac{5}{x^4}$

d)

$\frac{40x^3}{2x}$

101.

Find the product.

(5x + 2) (x²- 3x +6)

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

102.

Find the product:
$\left(x+1\right)\left(x^2-4x-21\right)$

a)

$x^3-3x^2-25x-21$

b)

$x^3+3x^2+25x+21$

c)

$-x^3-3x^2-25x-21$

d)

$x^4-3x^3-25x^2-21x$

103.

3x + 2(4x - 4) = 3

a)

4

b)

3

c)

2

d)

1

104.

Solve: 2(4x-3) - 8 = 4 + 2x

a)

x=5/3

b)

x=3

c)

x=1

d)

x=2

105.

Which reason justifies the statement?

a)

Subtraction Property of Equality

b)

Combine Like Terms

c)

Division Property of Equality

d)

Addition Property of Equality

106.

Which reason justifies the statement?

a)

Addition Property of Equality

b)

Multiplication Property of Equality

c)

Subtraction Property of Equality

d)

Division Property of Equality

107.

Which reason justifies the statement?

a)

Division Property of Equality

b)

Addition Property of Equality

c)

Multiplication Property of Equality

d)

Subtraction Property of Equality

108.

Which reason justifies the statement?

a)

Combine Like Terms

b)

Multiplication Property of Equality

c)

Division Property of Equality

d)

Addition Property of Equality

109.

Which reason justifies the statement?

a)

Combine Like Terms

b)

Distributive Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

110.

Which reason justifies the statement?

a)

Reflexive Property of Equality

b)

Division Property of Equality

c)

Symmetric Property of Equality

d)

Commutative Property of Equality

111.

Which reason justifies the statement?

a)

Subtraction Property of Equality

b)

Combine Like Terms

c)

Addition Property of Equality

d)

Substitution Property of Equality

112.

What is the 2nd step?

a)

distribution property

b)

subtraction property of equality

c)

addition property of equality

d)

multiplication property of equality

113.

What is the 3rd step?

a)

addition property of equality

b)

subtraction property of equality

c)

associative property

d)

zero product property

114.

What is the 2nd step?

a)

distribution property of equality

b)

multiplication property of equality

c)

subtraction property of equality

d)

addition property of equality

Y10A Term4 Algebra Review

Total questions: 114

Worksheet time: 3hrs 20mins

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