Algebra
1) Given the formula T = P² + (Q/[1 + R]), Find the value of T when P = -3 , Q = 4 and R = -2
- 10
- 1
- 8
- 5
2) Given the formula T = P² + (Q /[1 + R]) Find the values of P when T = 13, Q = -24 and R = 1
- ±5
- 2
- 9
- -10
3) Write the algebraic expressions for the following statements a) Divide xyz by 7ab b) Subtract the cube root of x from 4y.
- xyz/7ab,(4y - ³√x)
- yxz/2ab, (x - ⁴√x)
- xyz/3ab, (5y - √x)
- xyz/2ba,(9y - √x)
4) Given the formula C = 2(x - y), Find the value of x when y =12 and C = 4
- 10
- 5
- 14
- 24
5) Given that a = -2, b = 1 and c = 5, Evaluate (a) (a + 2c)(b – 2a),(b) abc/(3a)²
- 23,1/8
- 11,-3/11
- 15,-5/18
- 40,-5/18
6) Given that x = 7 and y = -0.4, Evaluate 8x – y
- 14.33
- 6.12
- 34.07
- 56.04
7) Given that x = 7 and y = -0.4, evaluate 2x² + 5xy/5y
- -33
- 20
- 12
- -42
8) Given that a = -2, b = 2 and c = -1, Find the value of 3ab + 4c
- 29
- -16
- 10
- 25
9) Given that a = -2, b = 2 and c = -1, Find the value of 4a² – 6c – 5b
- 20
- -19
- 3
- 12
10) Given that p = 3, q = -1 and r = -2, Evaluate (pr)³
- 118
- 201
- -85
- -216
11) Given that p = 3, q = -1 and r = -2, Evaluate √[q/(r – p)]
- √(-2/9)
- √(-1/5)
- √(1/5)
- √(3/5)
12) Given that 2x – y = 4, Find the value of 2x - y - 7
- 2
- -3
- 7
- 3
13) Given that p = 3, q = -4 and r = -2, Find 5p - 2q + r
- 34
- 21
- 24
- 15
14) Given that p = 3, q = -4 and r = -2, Find pr²?
- 7
- 5
- 12
- 4
15) If a = 2,b = -3 and c = 4, Evaluate [2c - 4b + 5ab]/[(c + a)(c - a)]
- 2
- 0
- 10
- -5/6
16) If a = 2, b = 0 and c = -3, Evaluate (a) ac - 2c + 3abc, (b) (2ac)² - ac²
- 0,126
- 1,126
- 2,212
- 12,115
17) Given that p = -2 and q = 5, Find the value of 2pq²
- 200
- 150
- -100
- 85
18) Given that a = 2, b = -3, c = 4, Evaluate a² – b² – c²
- 21
- -21
- 10
- 11
19) Simplify 5a – [a + b – 2(3b + c)]
- 9a + 25b + 5c
- 4a + 5b + 2c
- 4a - 5b - 2c
- 2a + 13b + c
20) Expand and Simplify 5(3 + 2y) - 8(4 - y)
- 18y + 17
- 4y - 10
- 11y - 21
- 18y - 17
21) Simplify 7(x – 5y) – 4(y – 3x) – (2x – 5y)
- 21(3x – 5y)
- 17(x + 2)y
- 7(5x – y)
- 17(x – 2y)
22) Simplify 3x + 4[2x + y – (4x - y)
- 15x + 5y
- -5x + 8y
- 15x - 8y
- -15x + 18y
23) Simplify 2[3p – 2(p – 2q)]
- 5(3p + 12q)
- 3(2p + q)
- 2(p + 2q)
- 2(p - q)
24) Simplify 5a – [3(2a - 3) – 4b] + 9b + 15
- 14 + a - 13b
- 24 – a + 13b
- 5 – 2a + 3b
- 24 – a - 13b
25) Simplify ([3/5]x²) ([1/2]x²)
- (1/19)x⁴
- (5/13)x⁴
- (3/10)x⁴
- (1/8)x⁴
26) 800 grams of flour costs $x. Find an expression for the cost of y kilograms of flour.
- (5xy)/4
- (5y)/4
- (15xy)/14
- (xy)/24
27) On the first day of school, John cycled 1 mile in x minutes. On his second day, he cycled for y hours at the same average speed as on his first day to school. Write down, the number of miles he cycled on the second day. Leave your answer in terms of x and y.
- 15/x miles, 29y/x miles
- 20/x miles, 10y/x miles
- 10/x miles, 35y/x miles
- 60/x miles, 60y/x miles
28) Mary bought m dozens of apples at r cents per dozen. She sold them at p cents each. Find an expression, in terms of m, r and p, for the percentage profit that she made.
- [121(2p - r)]/r
- [66(p + 3r)]/r
- [100(12p - r)]/r
- [10(p - 5r)]/r
29) Y gallons of milk cost 3 dollars. Find an expression for the number of gallons of milk that can be bought for x dollars.
- (xy)/3
- (xy)/10
- (3xy)/13
- (2xy)/9
30) P pounds of mushrooms cost q cents. Find an expression in terms of p and q, for the number of pounds of mushrooms that can be bought for r dollars.
- 10pr/5q pounds
- 5r/q pounds
- 100pr/q pounds
- 135pr/3q pounds