Act Pre Algebra Prep

Charlotte is making a recipe that requires 5 cups of flour for every 15 cups of sugar. She wants to make a larger batch using 7 cups of flour. Should she use 21 cups of sugar to maintain the same proportion?

• No

• Yes

• Not sure

• Maybe

Answer explanation

The pairs (5, 15) and (7, 21) are proportional because the ratios 5:15 and 7:21 simplify to the same value (1:3). Therefore, the correct answer is 'Yes'.

Grace is baking cookies and needs to divide the dough into equal parts. Which of these fractions represents the smallest portion of dough?

• 1/4

• 1/9

• 1/12

• 2/3

Answer explanation

To compare the fractions, convert them to a common denominator or compare their decimal values. 1/12 is the smallest because it equals approximately 0.083, which is less than 1/4 (0.25), 1/9 (0.111), and 2/3 (0.667).

Anika has a pizza divided into 8 slices. She has already eaten 3 slices. If she eats 2 more slices, what fraction of the pizza has she eaten?

• 3/8

• 6/8

• 5/8

• 5/9

Answer explanation

If you start with 3 out of 8 slices colored and color in 2 more, you have 5 out of 8 slices colored. Thus, the fraction is 5/8, which is the correct answer.

Michael scored 19 out of 25 on his math test. What is his score as a percent?

• 19%

• 25%

• 76%

• 50%

Answer explanation

To convert 19/25 to a percent, divide 19 by 25 to get 0.76, then multiply by 100. This gives 76%, which is the correct answer.

Anika saved 0.17 of her allowance this month. What percentage of her allowance did she save?

• 1.7%

• 17%

• .0017%

• 170%

Answer explanation

To convert 0.17 to a percent, multiply by 100. Thus, 0.17 x 100 = 17%. Therefore, the correct answer is 17%.

Abigail bought a toy for $5 last month. This month, the same toy is priced at $1. Find the percent of change in the price of the toy.

• Increase $4

• Decrease $4

• Decrease 80%

• Decrease 400%

Answer explanation

To find the percent of change, use the formula: ((new cost - original cost) / original cost) * 100. Here, ((1 - 5) / 5) * 100 = (-4 / 5) * 100 = -80%. This indicates a decrease of 80%.

 Macy's is having a one-day 35% off special. If Sara bought $124.50 worth of items, what would the final bill total after applying the discount of 35% and sales tax of 7%?

• $84.30

• $80.93

• $89.56

• $86.58

Answer explanation

First, calculate the discount: $124.50 * 0.35 = $43.57. Subtract the discount: $124.50 - $43.57 = $80.93. Then, apply sales tax: $80.93 * 0.07 = $5.67. Finally, add tax to the discounted price: $80.93 + $5.67 = $86.58.

Nora is designing a ramp for a skateboard park. She wants the ramp to be parallel to an existing ramp that follows the line
y = 2x + 3. If the new ramp needs to pass through the point (5, -4), what is the equation of the line in slope-intercept form?

• y = -2x + 14

• y = 2x - 14

• y = 2x - 6

• y = -1/2x + 6

Answer explanation

The slope of the given line y = 2x + 3 is 2. A parallel line has the same slope. Using point-slope form with point (5, -4), we find y = 2x - 14, which matches the correct answer.

Aria is designing a ramp for a skateboard park. She needs to write the equation in point-slope form of the line that represents the ramp, which passes through a point at (4, -7) and has a slope of m = -1/4.

• y +7 = -1/4(x - 4)

• y - 4 = -1/4(x + 7)

• y+ 7 = 4(x - 4)

• y - 7 = -1/4(x - 4)

Answer explanation

The point-slope form is given by y - y1 = m(x - x1). Here, (x1, y1) = (4, -7) and m = -1/4. Substituting these values gives y + 7 = -1/4(x - 4), which matches the correct answer.

Emma is planning a garden and wants to create a path that follows a straight line. What is the equation of this path in slope-intercept form?

• y = 2x + 5

• y = -2x + 5

• y = -2x

• y = 5

Answer explanation

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. The correct equation, y = -2x + 5, has a slope of -2 and a y-intercept of 5, matching the line's characteristics.

Tags

CCSS.7.RP.A.2D