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Name:____________________________________________________________________________ Benchmark Review 2 1) Tom bought 3 markers and 6 pens for $3.75. Emily bought 7 markers and 2 pens for $4.55. How much does each marker and pen cost? 3(2𝑥 – 1) ≤ 2) Solve and graph the inequality. 3𝑛−5 3 3) Solve for n. 2 (6𝑥 3 + 18) = 6𝑐 + 1 4) Write the equation of the line in slope-intercept form and standard form. 5) What is the slope of 1 𝑥 3 − 4𝑦 = 10? 6) Solve the system. 7) Find the root of 𝑓(𝑥) = 4𝑥 – 2𝑦 = −20 7𝑥 + 5𝑦 = −1 1 𝑥 4 8) State the domain and range. + 6 9) Determine if it is direct or inverse variation. State the equation. 7 a) (-2, 4) (6, -12) (9, -18) b) y = 𝑥 c) Your family traveled 300 miles in 4 hours. After 6 hours, you traveled 450 miles? 10) Identify which are not functions? a) y = 2 b) x = -5 2𝑥−4 11) Solve. 4 12) Step 1: Step 2: Step 3: Step 4: Step 5: = c) (1, 2) (-4, 3) (1, 4) (0, 8) d) 6𝑥−3 10 12 = 4(x – 3) 12 = 4x – 12 24 = 4x 4x = 24 x=6 a) Which property is being demonstrated between Steps 2 and 3? b) Which property is being demonstrated between Steps 3 and 4? 13) a) Which section would be shaded? 𝑦 > 2𝑥 + 2 𝑦 ≤ − b) List 2 points that are solutions to the system. 2 2 𝑥 + 2 3 3 1 4 14) Find f( 3 ) when f(x) = 8x2 – 4x + 1 4 Answer Key 1) Marker = $0.55 2) x ≤ 3) n = Pen = $0.35 15 2 18𝑐+8 3 or 6c + 8 3 1 2 4) 𝑦 = − 𝑥 + 3 5) 1 12 6) (-3, 4) 7) -24 8) D: all real numbers 9) a) direct y = -2x R: y > 1 b) inverse xy = 7 10) b, c, d 11) -7 12) a) Addition Property of Equality 13) Section 1 b) Symmetric c) direct y = 75x 14) 5 2