This is a sample test for the elementary algebra diagnostic testat the Harbor College.

The solution and a link to the review of the topics are provided for each question. The review–links of all the topics may be accessed at here

This is an interactive PowerPoint file. For the best viewing, download it and run it in the viewing–mode.

http://www.lahc.edu/math/algebra/ele-alg-place-review.html

A

B

D

Question 1.

Answer for Question 1:

A bag contained 48 pieces of candies. Joe took 2/3 of the bag, Mary took 3/4 of what was left,and Chuck got the rest. How many pieces of candies did Chuck get?

8

6

4

3

C

Solution to Q1 The correct answer is 4.The statement “(fraction or %) of an amount” is translated to the multiplication operation.

Solution to Q1

14

The correct answer is 4.The statement “(fraction or %) of an amount” is translated to the multiplication operation.

Joe took ¾ of the bag so ¼ of the bag was left,

i.e. (48) = 12 pieces were left.12

Link to review

Next Question

Solution to Q1

14

The correct answer is 4.The statement “(fraction or %) of an amount” is translated to the multiplication operation.

Joe took ¾ of the bag so ¼ of the bag was left,

i.e. (48) = 12 pieces were left.12

Mary took 2/3 so Chuck got 1/3 of 12,13i.e. (12) = 4 pieces.

4

Correct!

Next Question

A

B

Question 1.

8

6

C

D

4

3

A bag contained 48 pieces of candies. Joe took 2/3 of the bag, Mary took 3/4 of what was left,and Chuck got the rest. How many pieces of candies did Chuck get?

A

C

B

D

Question 2.

Answer for Question 2:

23

13

=

23

1 3

–1

13–1

23–2

13–2

Solution to Q2

The correct answer is .

23–1

23

13

=

13

23

13

13

Link to review

Next Question

Solution to Q2

The correct answer is .

23–1

23

13

=

13

23

13

13

= 23

13

2

=23

1

hence 23

13

1 3 =23–1

A

C

B

D

Question 2. 23

13

=

23

1 3

–1

13–1

23–2

13–2

Correct!

Next Question

A

B

C

D

Answer for Question 3:

Question 3. After Joe got a 8% raise he earns $1,350 per week. How much was his weekly wage before the raise?

$1,200

$1,250

$1,225

$1,175

Solution to Q3

Suppose Joe’s wage was x before the raise, then a raise of 8% is 0.08x.

The answer is $1,250.

Solution to Q3

Suppose Joe’s wage was x before the raise, then a raise of 8% is 0.08x. Hence his new wage is x + 0.08x or 1.08x, which is $1,350.

The answer is $1,250.

Link to review

Next Question

Solution to Q3

Suppose Joe’s wage was x before the raise, then a raise of 8% is 0.08x. Hence his new wage is x + 0.08x or 1.08x, which is $1,350.

The answer is $1,250.

Therefore 1.08x = 1350 so that

x = 13501.08

= 1250.

Correct!

Question 3. After Joe got a 8% raise he earns $1,350 per week. How much was his weekly wage before the raise?

A

B

C

D

$1,200

$1,250

$1,225

$1,175 Next Question

A

B

C

D

Question 4.

Answer for Question 4:

4,000 x (7.5 x 10–9) x (8 x 103) =

240.

2.4

0.24

24

Solution to Q4

The answer is 0.24.

4,000 x (7.5 x 10–9) x (8 x 103) = 4 x 103 x (7.5 x 10–9) x (8 x 103)

Next Question

Solution to Q4

The answer is 0.24.

Link to review

4,000 x (7.5 x 10–9) x (8 x 103) = 4 x 103 x (7.5 x 10–9) x (8 x 103) = 4 x 7.5 x 8 x 103 x 10–9 x 103

Next Question

Solution to Q4

The answer is 0.24.

Link to review

4,000 x (7.5 x 10–9) x (8 x 103) = 4 x 103 x (7.5 x 10–9) x (8 x 103) = 4 x 7.5 x 8 x 103 x 10–9 x 103

= 240 x 10-3

= 0.24

Correct!

A

B

C

D

240.

2.4

0.24

24

Question 4. 4,000 x (7.5 x 10–9) x (8 x 103) =

Next Question

A

B

C

DAnswer for Question 5:

Question 5. Given the right triangle as shown with c = 12, a = 5, which is the closest approximated value of x?

12

11

9

10

Solution to Q5

The answer is 11.

By the Pythagorean Theorem it must be that x2 + 52 = 122

Solution to Q5

Link to review

Next Question

Solution to Q5

The answer is 11.

By the Pythagorean Theorem it must be that x2 + 52 = 122

x2 + 25 = 144

x2 = 119 or that x = √119 ≈ 11

Correct!

Question 5. Given the right triangle as shown with c = 12, a = 5, which is the closest approximated value of x?

A

B

C

D

12

11

9

10

Next Question

Question 6. Which of the following percentages is closest to 2/7?

D

B

C

A 30%

Answer for Question 6:

25%

20%

15%

Link to review

Next Question

Solution to Q6

The answer is 30%.

2/7 = 0.285.. ≈ 30%

Correct!

D

B

C

A 30%

25%

20%

15%

Question 6. Which of the following percentages is closest to 2/7?

Next Question

7.2

–0.9

10

–4.8

A

D

C

B

Question 7. 4.5 x 0.2 – (3.5 – 2 x 0.85) =

Answer for Question 7:

Solution to Q7The answer is 7.2.

4.5 x 0.2 – (3.5 – 2 x 0.85) = 0.9 – (3.5 – 1.7)

Link to review

Next Question

Solution to Q7The answer is 7.2.

4.5 x 0.2 – (3.5 – 2 x 0.85) = 0.9 – (3.5 – 1.7)= 0.9 – 1.8= –0.9

A

D

C

B Correct!

Question 7. 4.5 x 0.2 – (3.5 – 2 x 0.85) =

7.2

–0.9

10

–4.8Next Question

7

13

11

9

A

B

D

C

Question 8.

Answer for Question 8:

is approximately

Link to review

Next Question

Solution to Q8

The answer is 9.

is approximately 3(4) = 12,

is approximately 3

Solution to Q8

The answer is 9.

is approximately 3(4) = 12,

is approximately 3 so that

≈ 12 – 3 = 9.

Correct!

Question 8.

A

B

D

C

7

13

11

9

is approximately

Next Question

3/2

–3/2

1/2

–1/2

A

B

C

D

Question 9. If x = 3, and that xy – x – y = –4, what is y?

Answer for Question 9:

Solution to Q9The answer is -1/2.

If x = 3, then xy – x – y = –4 is 3y – 3 – y = –4.

Link to review

Next Question

Solution to Q9The answer is -1/2.

If x = 3, then xy – x – y = –4 is 3y – 3 – y = –4 so that

2y = –1or y = –1/2

Correct!

Question 9. If x = 3, and that xy – x – y = –4, what is y?

3/2

–3/2

1/2

–1/2

A

B

C

DNext Question

0

D

B

C

A

Question 10. If x = –3, then –x2 – 2x + 3 is

Answer for Question 10:

18

6

12

Link to review

Next Question

Solution to Q10The answer is 8.

If x = –3, then –x2 – 2x + 3 is –(–3)2 – 2(–3) + 3

= –9 + 6 + 3= 0

Correct!

Question 10. If x = –3, then –x2 – 2x + 3 is

0

D

B

C

A

18

6

12

Next Question

A

D

C

B

Question 11. If a = –2, b = –1, c = 3, then b2 – 4ac is

Answer for Question 11:

25

–25

–23

23

Link to review

Next Question

Solution to Q11The answer is 25.

If a = –2, b = –1, c = 3, then (–1)2 – 4(–2)(3) = 1 + 24 = 25

Correct!

Question 11. If a = –2, b = –1, c = 3, then b2 – 4ac is

A

D

C

B 25

–25

–23

23

Next Question

A

B

C

D

Question 12. If a – bx = c, then x =

Answer for Question 12:

𝑎−𝑐𝑏

𝑐𝑎 –𝑏

𝑐−𝑎+𝑏

𝑎𝑐

+b

Link to review

Next Question

Solution to Q12

The answer is .𝑎−𝑐𝑏

If a – bx = cthen a – c = bx

𝑎−𝑐𝑏 = xso

Correct!

Question 12. If a – bx = c, then x =

A

B

C

D𝑎−𝑐𝑏

𝑐𝑎 –𝑏

𝑐−𝑎+𝑏

𝑎𝑐

+b

Next Question

D

B

C

A

Answer for Question 13:

29A – 22B

29A – 38B

–41A – 22B

–41A – 38B

Question 13. –2(3A – 4B) – 5(–7A + 6B) =

Link to review

Next Question

Solution to Q13

The answer is 29A –22B.

–2(3A – 4B) – 5(–7A + 6B) = –6A + 8B + 35A – 30B= 29A – 22B

Correct!

D

B

C

A 29A – 22B

–41A – 22B

–41A – 38B

29A – 38B

Question 13. –2(3A – 4B) – 5(–7A + 6B) =

Next Question

A

B

D

14. Given the system 2x – y = 1 3x – y = –1

the solution for x is:

Answer for Question 14:

C

2

–2

–4

0

Link to review

Next Question

Solution to Q14The answer is x = –2.

3x – y = –12x – y = 1

Subtract the two equations

– )

x = –2

Correct!

14. Given the system 2x – y = 1 3x – y = –1

the solution for x is:

A

B

D

C

2

–2

–4

0

Next Question

A

B

D

Question 15. =

Answer for Question 15:

C

x5/y3

x5 y3

y3/x

x y3

Solution to Q15

= x 2–(–3) y –7–(–4)

The answer is x5/y3

By the Divide–Subtract rule for the exponents:

Link to review

Next Question

Solution to Q15

= x 2–(–3) y –7–(–4) = x5y–3 = x5/y3

The answer is x5/y3

By the Divide–Subtract rule for the exponents:

Correct!

A

B

D

C

x5/y3

x5 y3

y3/x

x y3

Question 15. =

Next Question

C

B

D

Question 16. From experience, it’s sunny 5 out of 7 days at Sunny Hills. In a period of 182 days, how many cloudy days are expected?

Answer for Question 16:

A 130 days

120 days

115 days

125 days

Solution to Q16The answer is 130 days.

Let x be the number of sunny days, using proportion,

x182

5The number of sunny days=

7Total number of days

Solution to Q16The answer is 130 days.

Let x be the number of sunny days, using proportion,

x182

5The number of sunny days=

7Total number of dayscross–multiplying so that 7x = 182(5)

Link to review Next Question

Solution to Q16The answer is 130 days.

Let x be the number of sunny days, using proportion,

x182

5The number of sunny days=

7Total number of dayscross–multiplying so that 7x = 182(5)

x = 182(5)7

26

x = 130

Correct!

C

B

D

A 130 days

120 days

115 days

125 days

Question 16. From experience, it’s sunny 5 out of 7 days at Sunny Hills. In a period of 182 days, how many cloudy days are expected?

Next Question

A

B

D

Question 17. y is inversely proportional to x2, if x = 2 then y = 9, what is x if y = 4?

Answer for Question 17:

C

4

6

2

3

Solution to Q17The answer is 3.

x2

ky = y is inversely proportional to x2 means

Solution to Q17The answer is 3.

x2

ky = y is inversely proportional to x2 means

if x = 2, y = 9 then

and that y =22

k9 = so k = 36,

x236

Solution to Q17The answer is 3.

x2

ky = y is inversely proportional to x2 means

if x = 2, y = 9 then

and that y =22

k9 = so k = 36,

x236

so if y = 4, then 4 = x2

36

Solution to Q17The answer is 3.

x2

ky =

Link to review

Next Question

y is inversely proportional to x2 means

if x = 2, y = 9 then

and that y =22

k9 = so k = 36,

x236

so if y = 4, then 4 = x2

36

4x2 = 36 x2 = 9 and that x = 3 or –3.

Correct!

A

B

D

C

4

6

2

3

Question 17. y is inversely proportional to x2, if x = 2 then y = 9, what is x if y = 4?

Next Question

A

C

D

Answer for Question 18:

B

Question 18. (x – 2)(2x – 3) – (3x + 2)(x – 4) =

–2x2 – 3x + 14

–2x2 – 17x – 2

–2x2 + 3x + 14

–2x2 + 3x – 2

Solution to Q18The answer is –2x2 + 3x + 14.

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

Solution to Q18The answer is –2x2 + 3x + 14.

Link to review

Next Question

(x – 2)(2x – 3) – (3x + 2)(x – 4) = (x – 2)(2x – 3) + (–3x – 2)(x – 4)= x2 – 7x + 6 – 3x2 + 10x + 8= –2x2 + 3x + 14

Correct!

Question 18. (x – 2)(2x – 3) – (3x + 2)(x – 4) =

A

C

D

B

–2x2 – 3x + 14

–2x2 – 17x – 2

–2x2 + 3x – 2

–2x2 + 3x + 14

Next Question

A

C

D

Question 19. Starting with a full tank of gas, we drove at a constant speed for 2½ hr and we used up 2/5 of the tank. How much more time we can travel at the same speed before we run out of gas?

Answer for Question 19:

B

3¼ hr

3¾ hr

3½ hr

4 hr

Solution to Q19The answer is

Let x be the number of hours that we may travel on the remaining 3/5 tank of gas.

Use proportion to solve the problem.

3 hrs.34

Solution to Q19The answer is

Let x be the number of hours that we may travel on the remaining 3/5 tank of gas.

Use proportion to solve the problem.

Hours of traveling time:

Fraction of the tank:

x2/55/2=

3/5

3 hrs.34

Solution to Q19The answer is

Let x be the number of hours that we may travel on the remaining 3/5 tank of gas.

Use proportion to solve the problem.

Hours of traveling time:

Fraction of the tank:

x2/55/2=

3/52x

53=

5 25

3 hrs.34

cross–multiply

Solution to Q19The answer is

Let x be the number of hours that we may travel on the remaining 3/5 tank of gas.

Use proportion to solve the problem.

Hours of traveling time:

Fraction of the tank:

x2/55/2=

3/52x

53=

5 25

23=

3 hrs.34

cross–multiply

Solution to Q19The answer is

Let x be the number of hours that we may travel on the remaining 3/5 tank of gas.

Use proportion to solve the problem.

Hours of traveling time:

Fraction of the tank:

x2/55/2=

3/52x

53=

5 25

23=

3 hrs.34

cross–multiply

Solution to Q19The answer is

Link to review

Next Question

Let x be the number of hours that we may travel on the remaining 3/5 tank of gas,

Use proportion to solve the problem.

Hours of traveling time:

Fraction of the tank:

x2/55/2=

3/52x

53=

5 25

23=

4x = 15x = 15/4 = 3 4

3

3 hrs.34

cross again

cross–multiply

A

C

D

B Correct!

Question 19. Starting with a full tank of gas, we drove at a constant speed for 2½ hr and we used up 2/5 of the tank. How much more time we can travel at the same speed before we run out of gas?

3¼ hr

3¾ hr

3½ hr

4 hr

Next Question

B

C

A

Question 20. Which of the following is a factor of 3x – 3y + ax – ay

Answer for Question 20:

D

y + x

a – 3

x – y

3 – a

Solution to Q20The answer is (x – y)

Factoring by grouping: 3x – 3y + ax – ay= 3(x – y) + a(x – y)

Solution to Q20The answer is (x – y)

Link to review

Next Question

Factoring by grouping: 3x – 3y + ax – ay= 3(x – y) + a(x – y)= (x – y) (3 + a)

Correct!

B

C

A

D

y + x

a – 3

x – y

3 – a

Question 20. Which of the following is a factor of 3x – 3y + ax – ay

Next Question

B

C

A

Question 21.

Answer for Question 21:

D

x – 32x – 1

x + 2x – 1– Combine and simplify

(x – 3)(x + 2)x2 – x – 5

(x – 3)(x + 2)x2 + 7x + 1

(x – 3)(x + 2)x2 + 7x – 5

(x – 3)(x + 2)x2 – x + 1

Solution to Q21The answer is

Multiply the expression by 1 in the form of LCD/LCD distribute and simplify:

(x – 3)(x + 2)x2 + 7x – 5

x – 32x – 1

x + 2x – 1– (x – 3)(x + 2)(x – 3)(x + 2)

Solution to Q21The answer is

Multiply the expression by 1 in the form of LCD/LCD distribute and simplify:

(x – 3)(x + 2)x2 + 7x – 5

x – 32x – 1

x + 2x – 1– (x – 3)(x + 2)(x – 3)(x + 2)

(x + 2) (x – 3)

Solution to Q21The answer is

Link to review

Next Question

Multiply the expression by 1 in the form of LCD/LCD distribute and simplify:

(x – 3)(x + 2)x2 + 7x – 5

x – 32x – 1

x + 2x – 1– (x – 3)(x + 2)(x – 3)(x + 2)

= (2x – 1) (x + 2) – (x – 1)(x – 3)(x – 3)(x + 2)

=(x – 3)(x + 2)

x2 + 7x – 5

(x + 2) (x – 3)

Correct!

Question 21.

B

C

A

D

(x – 3)(x + 2)x2 – x – 5

(x – 3)(x + 2)x2 + 7x + 1

(x – 3)(x + 2)x2 + 7x – 5

(x – 3)(x + 2)x2 – x + 1

x – 32x – 1

x + 2x – 1– Combine and simplify

Next Question

B

D

A

Question 22. The solutions of 3x(x – 1) = x2 + 9 are

Answer for Question 22:

C

x = –2/3, 3

x = 2/3, –3

x = –3/2, 2

x = 3/2, –2

Solution to Q22The answer is x = –3/2, 3

3x(x – 1) = x2 + 9 3x2 – 3x = x2 + 92x2 – 3x – 9 = 0

Solution to Q22The answer is x = –3/2, 3

Link to review

Next Question

3x(x – 1) = x2 + 9 3x2 – 3x = x2 + 92x2 – 3x – 9 = 0(2x + 3)(x – 3 ) = 0so x = –3/2, 3

B

D

A

Question 22. The solutions of 3x(x – 1) = x2 + 9 are

C

x = –3/2, 2

x = 3/2, –2

Correct!

x = –2/3, 3

x = 2/3, –3

Next Question

B

D

C

Question 23. Solve for x if

Answer for Question 23:

A 1 – a1

1 + a1

1 + a–1

a – 11

x1a = 1 –

Solution to Q23

The answer is x =

Link to review

Next Question

1 – a1

x1a = 1 –

x1 = 1 – a

x =1 – a

1

Correct!

B

D

C

A 1 – a1

1 + a1

1 + a–1

a – 11

Question 23. Solve for x if x1a = 1 –

Next Question

A

D

C

Question 24.

Answer for Question 24:

B

x + 1

(x2 – 3x)x2

(1 – x2)(x2 – 4x + 3)*Simplify

x

–x – 1x

x – 1x

1 – xx

Solution to Q24

The answer is –x – 1x

(x2 – 3x)x2

(1 – x2)(x2 – 4x + 3)*

=x(x – 3)(1 – x)(1 + x)

x2(x – 3)(x – 1)

Solution to Q24

The answer is

Link to review

Next Question

–x – 1x

(x2 – 3x)x2

(1 – x2)(x2 – 4x + 3)*

=x(x – 3)(1 – x)(1 + x)

x2(x – 3)(x – 1)

=

–1

x–x – 1

A

D

C

B Correct!

Question 24.

x + 1x

–x – 1x

x – 1x

1 – xx

(x2 – 3x)x2

(1 – x2)(x2 – 4x + 3)*Simplify

Next Question

A

D

B

Question 25. The vertices of a rectangle are (1, 1), (5, 1), (1, 7), and (5, 7). What is the area of the rectangle?

Answer for Question 25:

C

16

20

24

28

Solution to Q25The answer is 24.

Link to review

Next Question

We have

(1, 1)

(1, 5)

(7, 1)

(7, 5)

So the area of the rectangle is Δx Δy = 6×4 = 24.

Δy = 5 – 1 = 4

Δx = 7 – 1 = 6

Correct!

Question 25. The vertices of a rectangle are (1, 1), (5, 1), (1, 7), and (5, 7). What is the area of the rectangle?

A

D

B

C

16

20

24

28

Next Question

D

C

B

Question 26. The solution for the inequality 3 > 1 – 2x ≥ –3 is

Answer for Question 26:

A 2–1

2–1

2–1

2–1

Link to review

Next Question

Question 26.

The answer is

3 > 1 – 2x ≥ –3 subtract 1

2–1

2 > – 2x ≥ –4 divide by –2 and reverse the inequality

–1 < x ≤ 2 or2–1

Correct!

D

C

B

A 2–1

2–1

2–1

2–1

Question 26. The solution for the inequality 3 > 1 – 2x ≥ –3 is

Next Question

A

C

B

Answer for Question 27:

D ft3 13

ft3 23

2 ft

3 ft

x

5 ft

ft3

ft2 23

Question 27. Following are two prints of different sizes of the same picture of Tomo. With the given measurements, what is x?

Solution to Q27The answer is 3 1/3 ft.

Link to review Next Question

The ratios of the measurements must satisfies the proportion x : 5 = 2 : 3 or that

2 ft

3 ft

x

5 ft

5=x

32

Solution to Q27The answer is 3 1/3 ft.

Link to review Next Question

The ratios of the measurements must satisfies the proportion x : 5 = 2 : 3 or that

2 ft

3 ft

x

5 ft

5=x

32

x =32 (5

)= 3 3

1

so

Correct!

2 ft

3 ft

x

5 ft

A

C

B

D ft3 13

ft3 23

ft3

ft2 23

Question 27. Following are two prints of different sizes of the same picture of Tomo. With the given measurements, what is x?

Next Question

Answer for Question 28:

A

D

Question 28. Which of the following pictures represents A, B and C on the real line most accurately if A = 3, B = 9 and C = 12?

C

B0

0

0

0

Solution to Q28The answer B.

0

C = 12 must be the right most point.

12

Solution to Q28The answer B.

0

C = 12 must be the right most point.By dividing from 0 to 12 into 4 pieces

12

Solution to Q28The answer B.

Link to review

Next Question

0 1263 9

C = 12 must be the right most point.By dividing from 0 to 12 into 4 pieceswe see that A = 3, B = 9 and C = 12 must be

Correct!

A

D

Question 28. Which of the following pictures represents A, B and C on the real line most accurately if A = 3, B = 9 and C = 12?

C

B0

0

0

0Next Question

A

B

Question 29. Let point A = (–10, 20), the coordinate of the point that is 40 to the right and 40 below A is

Answer for Question 29:

(30, –20)

C

D

(40, –20)

(30, –30)

(40, –30)

Solution to Q29The answer (30, –20).

Link to review

Next Question

the point that’s 40 to the right and 40 below of (–10, 20) is (–10 + 40, 20 – 40) = (30, –20)

Correct!

A

B

(30, –20)

C

D

(40, –20)

(30, –30)

(40, –30)

Question 29. Let point A = (–10, 20), the coordinate of the point that is 40 to the right and 40 below A is

Next Question

A

D

Question 30. The slope of the line that has x–intercept at 4 and y intercept at 3 is

Answer for Question 30:

C

B

3/4

–3/4

4/3

–4/3

Solution to Q30The answer is –3/4.

The slope is “rise/run”.

Solution to Q30The answer is –3/4.

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Next Question

The rise and run for (4, 0) and (0, 3) is

(4, 0)(0, 3)4,–3

run rise

The slope is “rise/run”.

Hence the slope is –3/4.

A

D

C

B

3/4

–3/4

4/3

–4/3

Correct!

Next Question

Question 30. The slope of the line that has x–intercept at 4 and y intercept at 3 is

D

Question 31. The slope of a vertical line is

Answer for Question 31:

C

B

Undefined

0

1

–1

A

The slope is “rise/run”.The run for two points on a vertical line is 0 hence the slope = rise/0 is not defined.

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Solution to Q31The answer is “undefined”.

Next Question

D

Question 31. The slope of a vertical line is

C

B

Undefined

0

1

–1

A Correct!

Next Question

A

D

Question 32. Find the y–intercept of the line that contains the points (4, 15) and (9, 45).

Answer for Question 32:

C

B

–8

–9

–10

–11

Solution to Q32The answer is –9.

The slope of the line that contains the points (4, 15) and (9, 45) is (45 –15)/(9 – 40) = 6

Solution to Q32The answer is –9.

The slope of the line that contains the points (4, 15) and (9, 45) is (45 –15)/(9 – 40) = 6so the equation of the line containing these points is y = 6(x – 4) + 15

Solution to Q32The answer is –9.

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The slope of the line that contains the points (4, 15) and (9, 45) is (45 –15)/(9 – 40) = 6so the equation of the line containing these points is y = 6(x – 4) + 15 or

y = 6x – 9Hence the y–intercept is at y = –9.

A

D

C

B

–8

–9

–10

–11

Question 32. Find the y–intercept of the line that contains the points (4, 15) and (9, 45).

Correct!