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Transcript
Year 10 Algebra Test Factorise/Expand/Solve Name ……………………….. 1. Expand and simplify the following a) 5( x 4) ………………………. b) x( y 7) …………………………. c) x 2 (2 x 3 y) ……………………… 2. Expand and simplify the following a) ( x 4)( x 7) ………………….. b) ( x 3)( x 5) ………………………. …………………………………… ……………………………………….. …………………………………… ……………………………………….. c) ( x 2)( x 8) ………………….. d) (x 3) 2 …………………………… …………………………………… ………………………………………. …………………………………… ………………………………………. e) ( x 10)( x 10) ……………….. f) (2 x 4)(3x 1) …………………… …………………………………… ………………………………………. ……………………………………. ………………………………………. 3. Find the area of a rectangle with side lengths ( x 5) and ( x 2) . …………………………………….. …………………………………….. …………………………………….. 4. Factorise fully the following a) 7 x 7 y ……………………………. b) 6x 9 …………………………….. c) y 2 5 y …………………………… d) 3x 2 6 x ………………………….. 5. Factorise the following a) x 2 10 x 24 ……………………….. b) x 2 5 x 24 ………………………. c) x 2 10 x 24 ………………………. d) x 2 25 x 24 ……………………… 6. Solve the following equations a) 3x 7 8 b) 5 2x 10 …………………….. ………………………. …………………….. ………………………. c) 7 x 5x 2 d) 6x 5 2x ……………………… ……………………….. ……………………… ……………………….. 7. Solve the following equations a) 5x 4 2x 10 b) 6 2x 3x 16 …………………….. ………………………. …………………….. ………………………. …………………….. ………………………. 8. Solve the following equations a) 4( x 3) 2 x 6 b) 5(2 x 3) 2( x 4) …………………….. ………………………. …………………….. ………………………. …………………….. ………………………. …………………….. ………………………. 9. Sarah is 3 years older than Anne. Grace is twice Sarah’s age. Their ages added together equal 41. 10. Joe notes while walking to school that the numbers on 3 letterboxes are consecutive. The 3 numbers add to 219. a) Write an equation linking the 3 ages a) Write an equation linking the letterbox numbers. ……………………………………….. ……………………………………….. ………………………………………….. b) Solve the equation to find the numbers on the letterboxes. …………………………………………… …………………………………………….. …………………………………………… …………………………………………….. …………………………………………… …………………………………………….. Sarah was ……. …………………………………………….. Anne was …….. letter box numbers ……., ………, ……… b) Solve the equation to find the ages Grace was ……
