Algebra I Keystone Exams Review

Flashcards based on the 2021 Algebra I Item and Scoring Sampler to help students prepare for the Keystone Exams.

√x > x²

Which inequality comparing two of the expressions is true when 0.1 ≤ x ≤ 0.4?

3

What is the value of k, given that the greatest common factor (GCF) of x³yk and x²ky⁴ is x²y³?

(x²)⁴ = (x²)(x²)(x²)(x²) = x⁸

Which equation correctly shows that (x²)⁴ = x⁸?

(x+4)

When factored completely, which is a factor of 6x³ - 12x² - 48x?

y = 1.15x + 10.95

What equation describes the relationship between the number of cupcakes ordered (x) and the total cost (y), in dollars, if Anna's Bakery charges a $10.95 delivery fee and $1.15 per cupcake?

Kylie uses the distributive property, resulting in a correct first step.

Kylie uses a first step that results in 4x - 32 = 7x - 28; Rhoda uses a first step that results in 4x - 8 = 7x - 4. Which statement about the first steps Kylie and Rhoda use is true?

Darlene has collected 22 prize tickets at the end of 10 days.

The equation y = 2x + 1 describes the relationship between the number of days (x) since she began collecting and the number of prize tickets (y) she has collected. Which statement correctly describes a solution of the equation?

day 8

Mary measured the heights of two different plants every day. Plant A was 1 inch tall when Mary began her measuring, and it grew 0.5 inch per day. Plant B was 3 inches tall, and it grew 0.25 inch per day. On which day were plant A and plant B the same height?

x > 5

Which graph shows the solution set of the inequality (2x-7) > 3?

-1 < x ≤ 2

Which inequality has the solution set shown in the graph? (-6-4-2 0 2 4 6)

the number of T-shirts that need to be sold for the company to meet its goal

The inequality 20x - 1,500 > 3,500 models this situation. Which best describes the meaning of x in the inequality?

Graph representing the intersection of x + 2y ≥ -2 and y ≤ x + 3

A system of inequalities is shown below: x + 2y ≥ -2 , y ≤ x + 3. Which graph represents the system?

c = 75t + 15

Which equation describes the pattern in the cost of online data storage?

A graph that passes the vertical line test

Which graph represents a function?

{-4,-1, 2, 5}

What is the range of the relation? {(1, 5), (0, 2), (1, −1), (-2, −4)}

y = (2/3)x + 6

Which equation describes the function?

26

A student completes math problems at an average rate of 2 problems every 5 minutes. At this rate, how many math problems does the student complete in 65 minutes?

13 1/2

Based on the relationship shown in the table, how many more cups of sugar does Sonya use to bake 9 batches of cookies than to bake 3 batches of cookies?

0.25

What distance, in miles, is Karl from his house when he starts biking?

y = 11.8x + 29.2

Based on the scatter plot, which equation represents the line of best fit for the cost of the orange trees?

About 25% of the students completed the puzzle in 4 minutes or less.

The first quartile value of the teacher's data is 4 minutes. The third quartile value is 6 minutes. Which statement must be true?

224

Based on the information shown in the bar graph, which value is most likely the difference between the number of minutes Frank will spend reading the next 4 weeks and the number of minutes Frank will spend gaming online the next 4 weeks?

One-half of the cars are priced between $14,000 and $25,000.

Based on the box-and-whisker plot, which statement about the prices of the cars is most likely true?

5

Based on the line of best fit, which is most likely the number of miles Julie would walk in 105 minutes?