Textbook

9 Mathematics Nelson
Chapter

Chapter 3
Section

Ch 1 to 3 Review - Rational, Polynomial, Lines

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Solutions
22 Videos

Which expression has the greatest value?

A. `-5-2+4`

B. `3-12+2`

C. `5-(-3)-10-7-(-2)+1`

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Q1

Which expression has a positive value?

A. `(-9.3)^2`

B. `-9.3^2`

C. `(-9.3)^3`

D. `-9.3^3`

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Q2

Which of these is not equal to `-5 \frac{1}{5}`

?

A. ```
\displaystyle
- \frac{26}{5}
```

B. ```
\displaystyle
-5 + \frac{1}{5}
```

C. `-5.2`

d. `-5 - \frac{1}{5}`

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Q3

Which two numbers have a product of `7^8`

and a quotient of `7^4`

?

A. `7^6`

and `7^1`

B. `7^3`

and `7^2`

C. `7^9`

and `7^4`

D. `7^6`

and `7^2`

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Q4

Which expression is not equal to `2^9`

A. ```
\displaystyle
8^3
```

B. ```
\displaystyle
\frac{(36^3)^3}{(18^3)^3}
```

C. ```
\displaystyle
(2^3)(2^3)
```

D. ```
\displaystyle
(2^4)(2^3)(2)(2)
```

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Q5

Which expression do the tiles represent?

A. ```
\displaystyle
(x^2+ 2x + 4)-(3x^2 -3x + 1)
```

B. ```
\displaystyle
(x^2+ 2x + 4)-3x^2 -3x + 1
```

C. ```
\displaystyle
(-3x^2+ 3x + 1)+(x^2 + 2x + 4)
```

D. ```
\displaystyle
(-3x^2- 3x - 1)+(x^2 + 2x + 4)
```

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Q6

Simplify ```
\displaystyle
12 - 9(x -5)-(3x + 4)
```

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Q7

The area and length of a rectangle are shown. Determine the missing side.

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Q8

Read these statements about the graph.

i) Line 1 is a direct variation.

ii) Pay is the independent variable.

iii) Line 2 represents a lower-paying job than line 1.

Which choice best represents the statements?

**A.** Only i) is true.

**B.** Only ii) is true.

**C.** Both 1) and ii) are true.

**D.** Both i) and iii) are true.

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Q9

Which statement is false?

**A.** A line with a negative slope rises to the right.

**B.** A line with a positive slope rises to the right.

**C.** The y-intercept of a line is the point where the xâ€”coordinate is 0.

**D.** If the rate of change of a relation is positive, then its graph goes up from left to right.

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Q10

Identify the correct sum of ```
\displaystyle
3\frac{3}{8} + ( - 2 \frac{1}{6})
```

.

**A.** ```
\displaystyle
1 \frac{5}{24}
```

**B.** ```
\displaystyle
5 \frac{13}{24}
```

**C.** ```
\displaystyle
1 \frac{1}{14}
```

**D.** ```
\displaystyle
- 1 \frac{5}{24}
```

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Q11

Find the solutions:

```
\displaystyle
- \frac{3}{5} - 2 \frac{1}{4}
```

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Q12

Which of the following is farthest to the right of zero on a number line.

A. ```
\displaystyle
(\frac{5}{8})^2
```

B. ```
\displaystyle
(\frac{-7}{8})^2
```

C. ```
\displaystyle
(-1\frac{2}{8})^2
```

D. ```
\displaystyle
(1\frac{1}{4})^2
```

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Q13

Which of the following has a value of 1?

A. ```
\displaystyle
1 \frac{1}{2} \times \frac{1}{2}
```

B. ```
\displaystyle
- \frac{3}{4} \times 1 \frac{1}{3}
```

C. ```
\displaystyle
\frac{3}{5} \div 1 \frac{2}{3}
```

D. ```
\displaystyle
- 2 \frac{1}{4} \div (-2 \frac{1}{4})
```

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Q14

Which of the following are like terms?

A. `2x`

and `3x^2`

B. `-5y`

and `4x`

C. `-6a^2`

and `-6a^3`

D. `7c`

and `-9c`

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Q15

What is the value of `4(2x-3) + 6x^2`

when `x = - 1`

?

A. -26

B. 26

C. 14

D. -14

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Q16

Which one of these ordered pairs is not on the graph of `y = -3x -2`

?

A. (4, -14)

B. (-2, 3)

C. (-1, 1)

D. (0, -2)

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Q17

What is the slope of the line that passes through A(-4, 7) and B(3, -2)?

A. ```
\displaystyle
\frac{9}{-7/}
```

B. ```
\displaystyle
\frac{-7}{9}
```

C. ```
\displaystyle
\frac{9}{7}
```

D. ```
\displaystyle
\frac{7}{9}
```

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Q18

What are the x- and y-intercepts of `-2x - 5y = 20`

?

A. x = 10 and y = -4

B. x = -10 and y = -4

C. x = -10 and y = 4

D. x= 10 and y = 4

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Q19

Sara rents a car for a day. She is charged for 535 plus $0.20/ km. Which one of the following statements is false?

A. The The initial cost value is $35.

B. The rate of change is $0.20/km.

C. The relation between cost and distance driven is a direct variation.

D. It will cost Sara $55 to rent the car for one day and drive 100 km.

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Q20

Which of the following statements are true?

A. The first differences of a linear relation are constant.

B. The equation of a linear relation has a degree of 1.

C. The first differences of a nonlinear relation are not constant.

D. All of the above.

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Q21

A rectangle has a perimeter of 120 cm. Which of the following dimensions are not possible for this rectangle?

A. length 55 cm and width 5 cm

B. length 45 cm and width 15 cm

C. length 26 cm and width 24 cm

D. length 37 cm and width 23 cm

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Q22