Algebra 1

Use this for “2(3x − 4) = 4x + 2” (numbers after distributing up to 10).

Use this for “Solve P = 2l + 2w for w.”

Use this for “Solve 2x + 3y = 12 for y. What is y when x = 3?”

Use this for “Which equation has exactly one solution, no solution, or infinitely many?”

Use this for “Carpet costs $30 a square yard. What does it cost for a 12 ft by 15 ft room?”

Use this for “A cyclist rides at 18 km per hour for 40 minutes. How far does she go?”

Use this for “A rectangle measures 8 cm by 5 cm to the nearest centimeter. What are the least and greatest possible areas and perimeters?”

Use this for “A table is 4.25 m by 3.1 m. Give its area to the right number of significant figures.”

Use this for “Which unit and how much accuracy fit this measurement?”

Use this for “Solve −5 < 3x + 4 ≤ 13” (the x term positive).

Use this for “Solve 2x + 3 < −1 or 3x − 2 ≥ 7.”

Use this for “Graph y ≥ 2x − 3 and test a point”, or with <, ≤ or >.

Use this for “$12 to join plus $4 a visit, and at most $50. How many visits?”

Use this for “Solve |2x + 1| ≤ 7.”

Use this for “Solve |2x − 1| ≥ 5.”

Use this for “A 350 g box may be off by 6 g. Is a 343 g box all right?”

Use this for “f(x) = 2x² − 3x + 1. Find f(−2).”

Use this for “f(x) = −2x + 5 for −1 ≤ x ≤ 4. What is its range?”

Use this for “Find the average rate of change of f(x) = x² − 4x + 1 from x = 1 to x = 4.”

Use this for “f(x) = x². Graph g(x) = 2f(x − 3) + 1. Where does the point (1, 1) of f go?”

Use this for “Write the line through (4, 3) perpendicular to y = 2x + 1.”

Use this for “A class costs $25 to join plus $12.50 a class. What do 8 classes cost?”

Use this for “Predict the drinks sold at 62 °F from the line of best fit, and describe r.”

Use this for “Which scatter plot shows a negative correlation?” or “What does r = −0.78 say?”

Use this for “Solve 3x + 2y = 16 and 5x − 4y = 12 by elimination.”

Use this for “Adult tickets are $10 and student tickets $6. Spend at most $144 on at most 20 tickets.”

Use this for “Graph x − 2y < 2 and 2x + y ≤ 4 and test (−6, 2).”

Use this for “Shade the points with −3 ≤ x ≤ 2 and −1 ≤ y ≤ 4.”

Use this for “Solve y = x² − 2x − 3 and y = x + 1.”

Use this for “$30 a month covers 5 GB; each GB past that costs $8. What does 8 GB cost?”

Use this for “Parking is $4 for each hour or part of an hour. What do 2.5 hours cost?”

Use this for “Graph y = −2|x − 1| + 6: its vertex, which way it opens, and its zeros.”

Use this for “Graph y = |x² − 2x − 3|” from the graph of f.

Use this for “Simplify ∛54.”

Use this for “Evaluate 27²ᐟ³” or “16³ᐟ²”.

Use this for “Simplify 12x⁷ ÷ 3x².”

Use this for “Simplify √6 × √15.”

Use this for “Which of these are irrational: √49, 5√2, √8 × √2, π ÷ 2?”

Use this for “$800 earns 3% a year, compounded yearly. How much after 4 years?”

Use this for “A $18,000 car loses 15% of its value each year. In which year is it first worth under $9,000?” Read down the table.

Use this for “Solve 4⁶ = 8ˣ.”

Use this for “400 cells double every 3 hours. How many are there after 12 hours?”

Use this for “Which model fits: does it add the same amount or multiply by the same factor each step?”

Use this for “3, 6, 12, … What is the 8th term?”

Use this for “a₁ = 2 and each term is 3 times the one before, minus 1. Find a₄.”

Use this for “(3x² − 2x + 5) − (x² + 4x − 1)”.

Use this for “(3x − 2)²”.

Use this for “Multiply (x + 2)(x² − 3x + 4).”

Use this for “Factor 2x² + 7x + 3.”

Use this for “Factor 6x² + 15x.”

Use this for “Factor 9x² − 25.”

Use this for “Find the vertex and the zeros of y = x² − 6x + 5.”

Use this for “Graph y = −2(x − 1)(x − 5): its zeros, axis, vertex and y-intercept.”

Use this for “A ball is thrown up at 19.6 m/s from 2 m. When is it highest, and how high?”

Use this for “Which kind of function fits this table: linear, quadratic or exponential?”

Use this for “(x − 3)² = 25” or “2(x − 1)² = 18” (a = 1 when there is no number in front).

Use this for “Solve x² + 6x − 7 = 0 by completing the square.”

Use this for “Solve x² − 2x − 8 < 0” or “x² − x − 6 ≥ 0.”

Use this for “The five-number summary is 12, 20, 24, 28, 45. Is 45 an outlier?”

Use this for “Points in nine games: 12, 18, 9, 22, 15, 30, 14, 17, 20. Make a box plot.”

Use this for “Find the mean and the standard deviation of 1, 3, 3, 5, 5, 7, 7, 9.” From 3 to 8 values.

Use this for “Compare the reading minutes of two classes by their medians and IQRs.”

Use this for “Minutes of homework: 35, 42, 18, 50, 27, 44, 38, 60, 30, 47, 25, 40. Make a relative frequency histogram.”

Use this for “Books read by 10 students: 3, 5, 2, 4, 5, 9, 5, 1, 4, 2. Make a dot plot and find the mode, median and mean.”

Use this for “What fraction of all the students play an instrument?”

Use this for “Of the Grade 9 students, what fraction play? Is grade linked to playing?”