Algebra Revision Worksheet
9 How many:
a centimetres are there in 3 m q cm?
b seconds are there in a min b s?
3 Write an algebraic expression that shows: 10 Find the value of each expression using
a 5 more than the product of p and 7 the substitutions p = 4, q = 7 and r = 8.
b 2 less than the product of c and d a 3p + r b pq − 12
c the sum of 8 and the product of x, y c 3p2 d 30 − 5q
and z e 2p + 10q – 3r f p2 − r2
d 3 more than one-quarter of n 5p + qr – 3r
e the difference between r and half of s g r( p + q) h ------------------------------
q+6
f 7 times the cube of c
g one-sixth of the number that is 4 more 11 Evaluate each of the following
than h expressions using the substitutions u = 5,
h twice the number that is 9 less than e v = −2 and w = −6.
i the sum of one-third of a and two- a u−v b w+u
fifths of b c v+w d u−w+v
j the square of the difference between v e w−u−v f 4w2
and w. g 3u − 4w h w(v − u)
4 Write down an algebraic expression in i u +w
2 2 j uvw + 4
simplest form for the number that is: 12 Simplify each of these.
a 8 more than y − 2 a 12ef + 5fe b 6u2 + 4u2
b 5 less than k − 4 c 8a − 3a
2 2 d 7a2b − 3a2b
5 Write down three consecutive numbers, e −8d + 5d f −9v − 3v
the first of which is: g 2c − 10c h −4r + 8r
a t b e+8 13 Simplify:
c 2c − 5 d d−1 a −6h + 9h − 13h
6 Write down three consecutive even b 4t 2 − t 2 − 3t 2
numbers, the first of which is: 14 Simplify each of the following by
a x b n+7 collecting the like terms.
c a−2 a a+7+a+4
7 Write down three consecutive odd b 5c + 8d + 3c + d
numbers, the first of which is: c 14p + 11q + 9p − 8q
a b b v+4 d 20g + 10h − 13g − 8h
c z−3 e 4m + 5 − m − 5
f 17a − 6b + 2a + 4b
8 Convert:
g −10x + 4y + 7x − 9y
a p km to m b b mm to cm
h a2 + 3a + a2 − 8a
c $k to cents d f min to h
9 How many:
a centimetres are there in 3 m q cm?
b seconds are there in a min b s?
3 Write an algebraic expression that shows: 10 Find the value of each expression using
a 5 more than the product of p and 7 the substitutions p = 4, q = 7 and r = 8.
b 2 less than the product of c and d a 3p + r b pq − 12
c the sum of 8 and the product of x, y c 3p2 d 30 − 5q
and z e 2p + 10q – 3r f p2 − r2
d 3 more than one-quarter of n 5p + qr – 3r
e the difference between r and half of s g r( p + q) h ------------------------------
q+6
f 7 times the cube of c
g one-sixth of the number that is 4 more 11 Evaluate each of the following
than h expressions using the substitutions u = 5,
h twice the number that is 9 less than e v = −2 and w = −6.
i the sum of one-third of a and two- a u−v b w+u
fifths of b c v+w d u−w+v
j the square of the difference between v e w−u−v f 4w2
and w. g 3u − 4w h w(v − u)
4 Write down an algebraic expression in i u +w
2 2 j uvw + 4
simplest form for the number that is: 12 Simplify each of these.
a 8 more than y − 2 a 12ef + 5fe b 6u2 + 4u2
b 5 less than k − 4 c 8a − 3a
2 2 d 7a2b − 3a2b
5 Write down three consecutive numbers, e −8d + 5d f −9v − 3v
the first of which is: g 2c − 10c h −4r + 8r
a t b e+8 13 Simplify:
c 2c − 5 d d−1 a −6h + 9h − 13h
6 Write down three consecutive even b 4t 2 − t 2 − 3t 2
numbers, the first of which is: 14 Simplify each of the following by
a x b n+7 collecting the like terms.
c a−2 a a+7+a+4
7 Write down three consecutive odd b 5c + 8d + 3c + d
numbers, the first of which is: c 14p + 11q + 9p − 8q
a b b v+4 d 20g + 10h − 13g − 8h
c z−3 e 4m + 5 − m − 5
f 17a − 6b + 2a + 4b
8 Convert:
g −10x + 4y + 7x − 9y
a p km to m b b mm to cm
h a2 + 3a + a2 − 8a
c $k to cents d f min to h
