Chapter 9 topic test

Which of these means '5 less than k'? 1. k - 5 2. 5 - k

1

Solve ( 4g over 3 ) = 2 Give your answer as a mixed numeral in its simplest form. g = ( mixed numeral )

1 , 1 over two

Tammie bought 2 doughnuts and a juice for lunch. A doughnut cost 40c more than the juice. If she paid $5 then one doughnut cost: $ ___ . ___

1, 80

Quentin is 2 cm taller than Joan, who is twice the height of her little brother. The sum of all three heights is 302 cm. Joan is ____ cm tall.

120

-2d = -26 d =

13

Solving ( d + 2 over 3 ) = 5, you would find that: d =

13

The sum of two numbers is 20 and their difference is 10. Let the larger number be m and the smaller number be n. m + n = 20 m − n = 10 Use guess, check and improve to determine the value of both numbers. m = n =

15, 5

Solve 6w − 1 = 11 w =

2

Terry is 5 years younger than Alyce, and the sum of their ages is 33. If the voting age is 18 or older, then: 1. Terry and Alyce are too young to vote 2. Terry cannot vote, but Alyce can vote 3. both Terry and Alyce can vote

2

A school shirt cost $b. Anna shopped for school shirts and wrote this equation to describe her purchase: 4b = 104 Select all the statements below that can be deduced from the equation. 1. There were 104 shirts in the shop. 2. Anna bought 4 shirts. 3. Anna bought 104 shirts. 4. Each shirt cost $104. 5. Each shirt cost $26. 6. The total cost was $104.

2, 5, 6

Solve this equation. 3w + 6(w - 4) = 156 w =

20

k ÷ 4 = 5 k =

20

( 3t - 2 over 5 ) = 6 What is the solution to this equation? 1. t = 13 2. t = 12 3. t = 10 4. t = 6

3

-5(3y - 7) = 1. -15y + 7 2. -15y - 7 3. -15y + 35 4. -15y - 35

3

2t = 20 - 2t Select the value of t that will make this equation true (balanced). 1. t = 3 2. t = 4 3. t = 5 4. t = 6

3

Evelyn is solving an equation. Her first guess is 4, and the result is 16. Her second guess is 7, and the result is 32. The result she wants is 29, so the solution will be: 1. greater than 7 2. between 4 and 7, but closer to 4 3. between 4 and 7, but closer to 7 4. less than 4

3

I chose a number, added 5 to it and then divided by 4 to get 30. Which equation best fits this calculation? 1. n + 5 over 4 = 30 2. n over 4 + 5 = 30 3. n + 5 over 4 = 30 4. n + 5 = 30 ÷ 4

3

Tim has twin brothers who are 3 years younger than him. The sum of the twins' ages is 22. Using a to represent Tim's age, you could write: 1. 2a − 3 = 22. This means Tim is 12. 2. ( a over 2 ) − 3 = 22. This means Tim is 50. 3. 2(a − 3) = 22. This means Tim is 14.

3

a + b = 4a Ian tested this equation using a = 2 and b = 6. Left side = 2 + 6 = 8 Right side= 4 × 2 = 8 True or false

true

Use the following list of values and unknowns to calculate the value of a in the formula T = a + (n − 1)d. T = 31 a = unknown number n = 5 d = 7

3

Which of these is NOT an equation? 1. 2(3h + 7) - 8 2. 24 × 3 + 10 = 82 3. 3n - 8 = 2n + 1

1

Solve 5(8 - 3x) = 55 x =

-1

The formula for the axis of symmetry of a parabola is: x = - b over 2a Find the value of b when x = 8 and a = 3. b =

-48

3y = y + y + y This equation is: 1. true for all values of y 2. false for all values of y 3. true only for some all values of y

1

Which equation means 'the product of 3 and y is 40'? 1. 3 + y = 40 2. 3 - y = 40 3. 3y = 40

3

Select ALL the numbers below that solve this equation. 1. 8 2. -8 3. 4 4. -4

3, 4

The area of this rectangle is 96 cm2. One side is 8 cm. Another side is ( 2x + 5 ) cm. What is the value of x? Enter your answer as a decimal. x =

3.5

Mandy thought of a number, doubled it and divided by 3 to get 20. The number Mandy thought of was

30

Serena is using the formula E = 1 over 2 mv 2. Her list of values and unknowns is: E = 147.6 m = unknown v = 3 Calculate the value of m. Enter your answer as a decimal.

32.8

3h + 2 = 17 To solve this equation, the first step would be to: 1. add 3 to both sides 2. subtract 3 from both sides 3. add 2 to both sides 4. subtract 2 from both sides

4

4(2 - 5n) = 10 Select the correct result after expanding the brackets. 1. 8 - 5n = 10 2. 8 - 20n = 40 3. 8 - 5n = 40 4. 8 - 20n = 10

4

Greg wrote this equation: ( x - 2 over 3 ) = 9 Ellie guessed that the solution is x = 29. To test Ellie's solution, you would: 1. multiply 29 by 3 and then add 2 2. add 2 to 29 and then divide by 3 3. subtract 2 from 29 and then multiply by 3 4. subtract 2 from 29 and then divide by 3

4

What is the smallest whole number that could be represented by t that makes 13t over 15 + 7 greater than 10?

4

Complete these equivalent equations. 3y + 8 = 15 3y - 2 = y2 = 16

5

Solve ( d over 3 ) − 5 = 13 d =

54

The area of a rectangle is found using the formula: A = LW where A = area, L = length and W = width If you double the length and triple the width of a rectangle, you will multiply the area by:

6

The formula for the area of a triangle is: A = 1 over 2 bh where: A = area A = 60 cm2 b = length of base B = 8 cm h = height H = unknown Complete the working to calculate the height: A =1 over 2 bh __ = 1 over 2 __ × h h = __ cm

60, 8, 15

Enter a number to complete this equation so that the solution is p = 1 over 2. 7(8p +__ ) = 77

7

Tom is using Newton's second law, F = ma His list of values is: F = 600 a = 0.75 Use these values to calculate m.

800

The total of three consecutive numbers is 2694. What are the numbers, in ascending order? ___,___,___

897, 898, 899