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Algebra 2 – PreAP Diagnostic Review DO NOT WRITE ON THIS PAPER – CLASS SET – ANSWER ON YOUR OWN PAPER For #1 – 6, fill in the blanks using the words listed to the right of the picture. 1) 2) 7 2 9 0.5 1 4) 2 1 e 3 2 3 5.312 a) b) c) d) e) f) 5 3 5 8 5) 6) 0 3) Irrational Numbers Integers ( ) Real Numbers ( ) Whole Numbers Natural/Counting Numbers ( Rational Numbers ( ) ) 7 2 For #7-14, name the property each equation illustrates using the properties listed below. 7) 40 4 8) n 1 n 9) (a b) c a (b c) 10) 2 5 10 11) 5 (5) 0 12) 3 2 2 3 13) a b c ab ac 14) 3 4 1 4 3 a) b) c) d) e) f) Commutative Property Multiplicative Inverse Property Additive Inverse Property Associative Property Closure Property Distributive Property g) Multiplicative Identity Property h) Additive Identity Property For #15 – 20, simplify each radical expression. 15) 50 16) 4 3 17) 320 18) 8 3 19) 2 5 7 5 20) 8 5 2 For #21 and 22, answer as indicated. 21) Regan runs and bicycles every day for a total of 60 minutes. Her body uses 9 calories per minute during running and 7 calories per minute during bicycling. Let r represent the number of minutes Regan runs. Write and simplify an expression for the total calories Regan uses running and bicycling each day. 22) Enrique is baking muffins and bread. He wants to bake a total of 10 batches. Each batch of muffins bakes for 30 minutes and each batch of bread bakes for 50 minutes. Let m represent the number of batches of muffins. Write an expression for the total time in minutes required to bake a combination of muffins and bread if each batch is baked separately. For #23-25, solve each equation. 24) 5 x 6 3x 18 2 x 23) 6 y 21 7 4 y 20 5 y 25) 3 2 3x 7 x 2 x 3 For #26-30, solve each compound inequality. 26) 2x – 3 ≥ 7 or x + 5 < 2 27) -3x – 3 > 6 and x + 9 > 2 29) 15x + 10 > 40 and 9x < -36 28) x – 4 < 4 or x + 5 > -3 30) 3 + 5x > 2x – 15 and 3(1 – 3x) + 6 < 18 For #31-35, graph each line on graph paper. 31) A line whose slope is 33) y 3 34) y 2 and passes through the point 1, 1 3 3 x 4 using slope and y-intercept 2 32) x 5 35) 2 x 3 y 12 using intercepts For #36-38, write the equation of each line described in the indicated form. 36) A line perpendicular to y 5 x 4 passing through the point 1, 1 - slope-intercept form 9 37) A line parallel to y 2 x 7 passing through the point 2, 7 - standard form 38) A line passing through points 1, 3 and 1, 4 - slope-intercept form For #39 and 40, fill in the blank. 39) The slope of a horizontal line is _________. 40) Vertical lines have __________ slope.