Free Printable SY23-24 Standard Unit 2 Expressions, Equations , Inequalities

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SY23-24 Standard Unit 2 Expressions, Equations , Inequalities

Total questions: 76

Worksheet time: 2hrs 54mins

Name

Class

Date

Solve the equation. Check your solution.

¹/₂

Solve the equation. Check your solution.

⁵/₃ or 1 ²/₃

²⁴³/₁₂₅ or 1 ¹¹⁸/₁₂₅

1.944

-⁵/₃ or -1²/₃

Solve the equation. Check your solution.

180

Solve the equation:
-2.6 + x = -4.6

x = 2

x = -2

x = 7.2

x = -7.2

1/2 + n= -1/4

-1/2

1/2

-3/4

3/4

Level 2

Solve for a

a= -2

a= -7.5

a= 2

a= 6

7k - 14 = 42

-8

3c + 5 = 23

c = 3

c = 6

c = 7

c = 18

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

10.

3(5x - 7) + 2x = 47

11.

Billy needs $868 for a new TV. He is able to save $62 each week from his paycheck. How many weeks will it take for him to buy the new tv?

12.

Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip. Write an equation that represents this scenario if the total cost was $39.

11x + 6 = 39

11x - 6 = 39

11 + 6x = 39

66x = 39

13.

Chris owes $1200 for rent. He got a new job waiting on tables and make $15 in tips for each table he serves. How many tables does he have to serve in order to have enough money for rent?

14.

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?

50 + 20m = 290

20 + 50m = 290

50 + 20 = m

50m - 20 = 290

15.

Scott works on cars. He charges $35 to checkout the car plus $7 per hour for the work. Write an equation that represents this scenario if Kylie's car bill was $63.

7x + 35 = 63

7x = 63

7x - 35 = 63

35x + 7 = 63

16.

A rectangle has a perimeter of 90 feet. The width of the rectangle is 24 feet. What is the length?

17.

A rectangle has a length of (x + 8) and a width of $\frac{1}{2}x$

If the perimeter is 31, what is the measure of the LENGTH of the rectangle?

2.5

18.

The perimeter is 142 ft. The length is 4x + 8 and the width is 2x + 3. What is the length of the rectangle?

19.

A rectangle has a length of 25 inches and a perimeter of 142 inches. What is the width?

117

58.5

20.

A rectangle has a perimeter of 54 cm and a width of 17 cm. What is the length?

18.5

21.

9(5x + 7) - 11x = 15x + 3

What is the first step you should do to solve this problem?

subtract 7 from both sides

add 5x and 11x

distribute the 9 to eliminate parentheses

combine the like terms

22.

1. Given 9x + 8, what is the CONSTANT?

23.

1. Given 9x + 8, what is the VARIABLE?

24.

1. Given 9x + 8, what is the COEFFICIENT?

25.

Given 9x – 3z + 8x, what are the LIKE TERMS?

9x, 3z, 8x

9x and -8x

9x and 8x

there are no like terms

26.

Given -3m – 7, what is the CONSTANT?

-3

-7

27.

Given -3m – 7, what is the VARIABLE?

-3

-7

28.

Given -3m – 7, what is the COEFFICIENT?

-3

-3m

29.

Given 8 + 3w – 2f + 7w, what are the LIKE TERMS?

3w and -7w

3w and 7w

3w, -2f and 7w

no like terms

30.

6x – 7 + 5x + 2x + 16

3x - 23

13x - 23

13x + 9

13x - 9

31.

8 – 6x – 7 + 4x + 12 – 3x

-5x + 13

-13x + 13

-13x + 5

-5x + 5

32.

Given the triangle, find the PERIMETER by taking the sum of all sides.

33.

Given the quadrilateral, find the PERIMETER by taking the sum of all sides.

34.

(3.7x – 8) + (2.1 – 1.04x)

35.

(9.2x + 3) + (4.1x – 7.2)

36.

(-14x - 3) - (-4x + 7)

37.

(8x - 7) - (2x - 3)

38.

8(x + 3) + 2(4x - 7)

39.

-9(4 - 2x)

40.

4(2 + 5x)

41.

simplify

-2.5h - 9r + 2

-9.5h - 9r - 2

-11.5h + 2

-2.5h + 9r - 2

42.

The table shows the number of Pride Points per homeroom

Which of the following expressions would represent five times the amount of Kennedy's pride points plus one of Fennell's pride points?

A. 5(0.25x) + 8x - 7

B. 1.25x + 8x - 7

C. 9.25x - 7

A only

A and C only

C only

A, B and C

43.

If French-Zheng’s homeroom starts with 12x + 8 Pride Points and then they decide to redeem (remove) 7x – 5 Pride Points for a prize, how many Pride Points are still there for French-Zheng’s class?

5x + 13

5x + 3

19x + 13

19x + 3

44.

-4x + 14 ≤ 54

x ≥ - 10

x ≤ -10

x ≥ 10

x ≤ 10

45.

10 < 3x + 19

x < 3

x > 3

x < -3

x > -3

46.

5z - 2 - 2z < 13

z > 5

z < 5

z > 1

z < 1

47.

x/4-9≤3

x≤24

x≥24

x≤48

x≥48

48.

Translate the statement into an equation:
Five less than a number is 6

n - 5 = 6

5 - n = 6

49.

Five less than the quotient of a number and 3 is -7.

5 - x/3 = -7

x/3 - 5 = -7

x/3 + 5 = 7

50.

If an inequality has a < or >, how do you graph the point on the graph?

As an open circle

As a closed circle

51.

You flip an inequality symbol when you...

subtract

multiply and divide only

multiple by a negative number

multiple or divide by a negative number

52.

The 23 members of the school jazz band are trying to raise at least $1800 to cover the cost of traveling to a competition. The members have already raised $750. Which inequality represents this situation if they are trying to find out how much money each person needs to raise?

750 + 23x > 1800

750x + 1800 > 23

23x + 1800 ≥ 750

750 + 23x ≥ 1800

53.

Mrs. Scott decided that she would spend no more than $120 to buy a jacket and a skirt. If the price of the jacket was $20 more than 3 times the price of the skirt, which inequality represents the highest possible price of the skirt?

20x + 120 ≥ 3

x/3 + 20 ≤ 120

3x + 20 ≤ 120

3x + 20 ≥ 120

54.

The perimeter of a rectangle is 42 inches. If one side is 5x, and the other side is (x-3), then what does x equal?

x = 2

x = - 3

x = 3

x = - 2

55.

Which algebraic expression represents the sum of 3 and one-half of x?

3 + 0.5x

3 + 1.2x

1.5x + 3

3 + 50x

56.

Andy is selling t-shirts to raise money for a missions trip. It costs him $50 to purchase the t-shirts he wants to sell. Andy wants to sell each t-shirt for $10.50 and hopes to make a profit of $1,252. Choose the correct equation and solution below that will help determine the number of t-shirts Andy should sell.

10.50x + 50 = 1,252; Andy must sell 115 t-shirts.

10.50x + 50 = 1,252; Andy must sell 124 t-shirts.

10.50x - 50 = 1,252; Andy must sell 124 t-shirts.

10.50x - 50 = 1,252; Andy must sell 115 t-shirts.

57.

In the algebraic equation:

3x+4, What is the constant and

what is the coefficient?

coefficient =4, constant =3

coefficient =x, constant =3

coefficient= 3, constant =4

58.

Factor the following expression: $75x\ +\ 30$

$5\left(15x\ +\ 6\ \right)$

$3\left(25x\ +\ 10\right)$

cannot be factored

undefined

59.

Gary is training to swim in a triathlon. His goal for this week is to swim a minimum of 42 miles. So far this week, he has already swam 12 miles. Jason has 5 more days to achieve his goal. Which inequality could be used to determine how many miles, m, will he need to run each day to achieve his goal?

5m + 12 ≥ 42

5m + 12 > 42

5m - 12 ≥ 42

5m - 12 ≤ 42

60.

When you graph an inequality, you use a closed dot when you use which symbols?

≤, ≥

<, >

≤, <

≥, >

61.

y - 13 ≤ -15

y ≤ 2

y ≤ -2

y ≤ 28

y ≤ -28

62.

Solve
-5m < 10

m < -2

m > -2

m < -50

m > -50

63.

-8x < 48

x < -6

x > -6

x < 6

x > 6

64.

Match the graph with its inequality.

b > –2

b < –2

b ≥ –2

b ≤ –2

65.

What inequality does the number line graph represent?

x ≤ -4

x ≥ -4

x < -4

x < 4

66.

What inequality does the number line graph represent?

x≥ 3

x > 3

x < -3

x ≤ 3

67.

What inequality does the number line graph represent?

x > 5

x < −5

x ≥ 5

x ≥ −5

68.

Maximum of

≤

≥

69.

At most

≤

≥

70.

At least

≤

≥

71.

Minimum of

≤

≥

72.

No more than

≤

≥

73.

No less than

≤

≥

74.

x is less than 9

x < 9

x > 9

x ≥ 9

x ≤ 9

75.

x fewer than 6

x < 6

x > 6

x ≥ 6

x ≤ 6

76.

x is no more than 13

x < 13

x > 13

x ≥ 13

x ≤ 13

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SY23-24 Standard Unit 2 Expressions, Equations , Inequalities

Total questions: 76

Worksheet time: 2hrs 54mins

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