Textbook

9 Mathematics Nelson
Chapter

Chapter 6
Section

Chapter 4 to 6 Cumulative Review; Lines and Linear Relationship

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Solutions
17 Videos

Andrew has two jobs in sales. He earns a commission of 4% on sales at clothing store and 5% commission on sales at shoe store. Last week Andrew earned $700. What equation describes this situation?

A. `4c + 0.5s = 700`

B. `40c + 50s = 700`

C. `0.04c + 0.05s = 700`

D. `5s + 4c = 700`

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Q1

he solution to `-2x- 4 = 2`

is

A. `x=0`

B. `x=-3 `

C. ` x=2 `

D. `x=4`

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Q2

The next step in the solution of `-x - 28 = 3x`

could be:

A. `2x-28=0`

B. `-28=2x`

C. `-x-28=0 `

D. `-28 = 4x`

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Q3

Daniel builds rocking chairs and tables in his shop. It takes him 4 h to build a rocking chair and 7 h to build a table. Last week he worked 50 h. What equation expresses the number of tables he made in terms of the number of rocking chairs?

A. ```
\displaystyle
t = \frac{50 -4r}{7}
```

B. ```
\displaystyle
4 = \frac{50 -7t}{4}
```

C. ```
\displaystyle
50 - 4r = 7t
```

D. ```
\displaystyle
4r + 7t =50
```

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Q4

Which of the following is true for the graph of `3x + 4y = 24`

?

A. The slope is -3

B. The x-intercept is 8.

C. The y-intercept is 8.

D. (3, 2) is a point on the graph.

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Q5

Which equation will let you solve `12 -3y = 5x`

for `y`

?

A. ```
\displaystyle
-3y = 5x - 12
```

B. ```
\displaystyle
-3y = 5x - 12
```

C. ```
\displaystyle
y = \frac{12 - 5x }{-3}
```

D. ```
\displaystyle
y = \frac{12 - 5x }{3}
```

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Q6

Which equation represents a line with slope -4 and ay-intercept of 3?

A. `x = -4y + 3`

B. `y = -4x + 3`

C. `x - 4y + 3 = 0`

D. `-4x + y + 3 = 0`

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Q7

The slope m and y-intercept `b`

of the line `4x + 3y +1 = 0`

are:

A. `m = -4, b = 1`

B. `m = - \frac{4}{3}, b = - \frac{1}{3}`

C. `m = \frac{4}{3}, b = \frac{1}{3}`

D. `m = \frac{3}{4}, b = -1`

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Q8

The slope of the line that passes through (5, -3) and (-2, -1) is:

A. `\frac{2}{7}`

B. `- \frac{2}{7}`

C. `\frac{7}{2}`

D. `- \frac{7}{2}`

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Q9

Which ordered pair is a solution to the pair of equations `3m + 2n = 13`

and `4m - 10 = n`

?

A. (3, 2)

B. (4, 6)

C. (5, -1)

D. (0, 5)

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Q10

The point `(5, 3)`

is the intersection of a pair of lines. If one line is represented by the equation
`y = 2x -7`

, the equation of the other line is:

A. `y = 3x + 8`

B. `y = -x + 8`

C. `y=2x-4`

D. `y = x + 2`

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Q11

Which of the following pair of lines are perpendicular?

A. line 1: `m = \frac{2}{3}`

and line 2: `m = \frac{3}{2}`

B. line 1: `m = - \frac{3}{5}`

and line 2: `m = - \frac{3}{5}`

C. line 1: `m= -\frac{4}{3}`

and line 2: `m = \frac{3}{4}`

D. line 1: `m = \frac{7}{3}`

and line 2: `m = - \frac{7}{3}`

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Q13

Which of these statements is true?

A. The line of best fit is drawn before the scatter plot is prepared.

B. The scatter plot is not required to draw the line of best fit.

C. The scatter plot is prepared before the line of best fit is drawn.

D. All the points of the scatter plot must lie on the line of best fit.

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Q14

Use the line of best fit to predict the amount of rainfall for the ninth month of the year.

A. 50 mm

B. 40 mm

C. 30 mm

D. 20 mm

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Q15

Suppose the pattern of the points in a scatter plot sloped up to the right. How can the relationship between the variables be described?

A. As the independent variable increases, the dependent variable decreases.

B. No relationship exists between the variables.

C. As the independent variable increases, the dependent variable increases.

D. As the independent variable increases, the dependent variable stays the same.

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Q16

Which of the following pairs of lines are parallel and rise from left to right?

A. line1: `m= -5`

and line 2: `m= -5`

B. line1: `m=\frac{2}{3}`

and line2: `m = -\frac{2}{3}`

C. line1: `m= - \frac{2}{3}`

and line 2: `m=-0.8`

D. line 1: `m = \frac{5}{8}`

and line 2: `m = 0.625`

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Q17