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Algebra Review Questions w/ answers Term 1 1. Solve and Check a) x + 4 = 12 (8) b) x + 10 = 15 (5) c) x – 8 = 19 (27) d) x – 13 = 4 (17) e) 7x = 14 (2) f) 4y = 16 (4) g) x 7 = 6 (42) h) r 3 = 13 (39) a) x + 3 = 12 (9) b) x + 6 = 15 (9) c) x – 8 = 54 (62) d) x – 9 = 43 (52) e) 7x = 42 (6) f) 4y = 52 (13) g) x 7 = 11 (77) h) r 3 = 25 (75) 2. Solve and Check 3. Evaluate the following. a) 3y – 4, y=4 (9) b) 5x + 6, x=2 (16) c) 88 r + 14, r=2 (56) d) 48 2y, y=3 (8) 4. Simplify the following. a) 3x + 5x (8x) b) 3 + 4y – 2y (3 + 2y) d) 9t + 3 + 6t + 4u –3 (15t + 4u) c) 6m – 2 – 3m + 5 (3m + 3) e) 6y – 4 – 3y + 3 (3y – 1) f) 8a – 5 – 4b – 2b + 3a (11a – 6b – 5) 5. Expand the following. a) 3(x + 5) (3x + 15) b) 6(2a – 5) (12a – 30) d) 7(3s – 1) (21s – 7) e) 4(8 + 4x – 3) (16x + 20) c) 3(4m + 5n) (12m + 15n) f) 5(4c – 2c + 9) (10c + 45) g) 8(2f – 9g – 10h – f + 2h) (8f – 72g – 64h) 6. Solve for the unknown a) 3x – 8 = 19 (x = 7) b) 12 = 2(3 + x) (x = 3) c) 7 + 6m – 3m + 5 = 45 (m = 11)