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Algebra with Whole Numbers Writing Expressions Exercise 10 Write expressions for: 1. 2. 3. 4. 5. 6. 7. 8. 1 more than x. 2 less than y. x more than 5 y less than 6. the sum of x and 9. the sum of 4 and y. 7 times x. y times 8. x+1 y-2 5+x 6-y x+9 4+y 7x 8y True or false? x divided by 3. x 3 True x divided by 3. x 3 True or false? 4 divided by y. y 4 False 4 divided by y. y 4 True or false? 2 divided into x. 2 x False 2 divided into x. 2 x True or false? y divided into 9. 9 y True y divided into 9. 9 y True or false? The product of 8 and x. 8 x False The product of 8 and x. 8 x True or false? The product of y and 6. 6y True The product of y and 6. 6y True or false? y added to x. x+ y True y added to x. x+ y True or false? y subtracted from x. y-x False y subtracted from x. y-x True or false? x multiplied by y. yx True x multiplied by y. yx True or false? x divided by y. y x False x divided by y. y x True or false? z more than y. yz False z more than y. yz True or false? z less than y. y-z True z less than y. y-z True or false? z times y. yz True z times y. yz True or false? z divided into y. z y False z divided into y. z y True or false? the sum of z and x. xz False the sum of z and x. xz True or false? the product of z and x. xz True the product of z and x. xz Write the expression 5 added to the result of multiplying 2 by x. 2x + 5 Write the expression 2 times the result of adding 5 to x. 2( x + 5) Write the expression 4 subtracted from the result of multiplying 3 by x 3x - 4 Write the expression 3 times the result of subtracting 4 from x 3( x - 4) Write the expression 5 added to the result of dividing x by 2. x +5 2 Write the expression 2 divided into the result of adding 5 to x. x+5 2 Write the expression 4 subtracted from the result of dividing x by 3. x -4 3 Write the expression 3 divided into the result of subtracting 4 from x x -4 3 Write the expression 1 more than the square of x x +1 2 Write the expression squaring the result of one more than x. ( x + 1) 2 • Find the cost of n articles if each article costs $d. C = nd • Find the cost of each article if n articles cost $d. d C= n • A polygon has n sides each of length d metres. Find its perimeter. P = nd • A polygon with n equal sides has a perimeter of d metres. Find the length of each side. d n • There are n power poles all in a straight line. If they are each d metres apart find the distance between the first pole and the last pole. d ( n -1) • There are n equally spaced poles in a straight line. If the distance between the first pole and the last pole is d metres find the distance between each pole. d n -1 ( ) • A carpenter cuts a length of wood d cm long into equal pieces. Find the length of each piece if he makes n cuts. d n + 1 ( ) • A carpenter cuts a length of wood into pieces each d cm long. Find the original length of wood if he makes n cuts. d ( n + 1) Write down the 3 consecutive whole numbers which • begin with n. • have n as their middle number • n, n+1, n+2 • n-1, n, n+1 Write down the 3 consecutive even numbers which • begin with 2n. • have 2n as their middle number • 2n, 2n+2, 2n+4 • 2n-2, 2n, 2n+2 Write down the 3 consecutive odd numbers which • begin with 2n - 1. • have 2n - 1 as their middle number • 2n-1, 2n+1, 2n+3 • 2n-3, 2n-1, 2n+1