MATHS PRACTICAL
QUESTION AND
ASNWERS
1. Solve the linear equation
1
(10x — 20) = x — 3
5
a) {—1} b) {17}
c) {3} d) {1}
2. Decide whether the equation is an identity, a conditional equation, or a
contradiction.
2(3x — 4) = 6x + 5
a) identity b) conditional equation
c) contradiction d) none of these
3. The formula for the perimeter of a rectangle is given by P = 2l +
2w, where l is the length and w is the width. Assume the
perimeter of a rectangular plot of land is 480 ft. The length is twice
the width. Find the length of the rectangular plot of land.
b) 80 ft b) 120 ft
c) 160 ft d) 240 ft
4. A car dealership uses the linear model y = —1100x + 25000 to pur
predict the depreciation of car values as time progresses. If x is how cha
old the vehicle is in years and y is the current value of the se?
vehicle, what will the value of the vehicle be 5 years after
c) $18,400 b) $19,500
c) $22,700 d) $23,900
,5. Find the following sum.
7(3x2 + 2x — 5) + 2(—x2 + 3)
a) 20x2 + 14x — 32 b) 19x2 + 2x — 2
c) 28x2 + 14x — 28 d) 19x2 + 14x — 29
6. Find the following product. (1 — 3x
2x — 5)
a) —3x3 — 5x2 + 17x — 5 b) x2 — x — 4
c) —3x3 + 7x2 + 13x — 5 d) —7x2 + 17x — 5
7. Factor out the greatest common factor from the following polynomial. 3a7b3 —
a) a4b3(3a3 — 21) b) 3a4b3(a3 — 7)
c) a4b3(3a3b — 21ab) d) 3a4b3(a3b — 7ab)
8. Factor the following polynomial by grouping. 15ab —
10a — 4
a) (3b + 2)(5a — 2) b) (3b — 2)(5a + 2)
c) (3b + 2)(5a + 2) d) (3b — 2)(5a — 2)
9. Factor the following trinomial. 6x2 + 11x — 10
a) (3x — 2)(2x — 5) b) (3x + 2)(2x — 5)
c) (3x — 2)(2x + 5) d) (x + 6)(11x — 10)
, 10. Factor the following polynomial. 25x2 + 40x + 16
a) (5x + 4)(5x — 4) b) (5x + 4)(5x + 4)
c) (5x — 4)(5x — 4) d) (x + 40)(25x + 16)
11. Write the following complex number in standard form a + bi.
—24 + √—126
3
a) —8 + 14i b) —8 — i√14
c) —8 + i√126 d) —8 + i√14
12. Find the sum or difference. Write the answer in standard form a + bi.
(3 — 5i) — (—5 + 11i) + (9 + 6i)
a) 7 + 12i b) 7 — 10i
c) 17 + 12i d) 17 — 10i
13. Find the numerator of the quotient. Write the answer in standard form
a + bi.
QUESTION AND
ASNWERS
1. Solve the linear equation
1
(10x — 20) = x — 3
5
a) {—1} b) {17}
c) {3} d) {1}
2. Decide whether the equation is an identity, a conditional equation, or a
contradiction.
2(3x — 4) = 6x + 5
a) identity b) conditional equation
c) contradiction d) none of these
3. The formula for the perimeter of a rectangle is given by P = 2l +
2w, where l is the length and w is the width. Assume the
perimeter of a rectangular plot of land is 480 ft. The length is twice
the width. Find the length of the rectangular plot of land.
b) 80 ft b) 120 ft
c) 160 ft d) 240 ft
4. A car dealership uses the linear model y = —1100x + 25000 to pur
predict the depreciation of car values as time progresses. If x is how cha
old the vehicle is in years and y is the current value of the se?
vehicle, what will the value of the vehicle be 5 years after
c) $18,400 b) $19,500
c) $22,700 d) $23,900
,5. Find the following sum.
7(3x2 + 2x — 5) + 2(—x2 + 3)
a) 20x2 + 14x — 32 b) 19x2 + 2x — 2
c) 28x2 + 14x — 28 d) 19x2 + 14x — 29
6. Find the following product. (1 — 3x
2x — 5)
a) —3x3 — 5x2 + 17x — 5 b) x2 — x — 4
c) —3x3 + 7x2 + 13x — 5 d) —7x2 + 17x — 5
7. Factor out the greatest common factor from the following polynomial. 3a7b3 —
a) a4b3(3a3 — 21) b) 3a4b3(a3 — 7)
c) a4b3(3a3b — 21ab) d) 3a4b3(a3b — 7ab)
8. Factor the following polynomial by grouping. 15ab —
10a — 4
a) (3b + 2)(5a — 2) b) (3b — 2)(5a + 2)
c) (3b + 2)(5a + 2) d) (3b — 2)(5a — 2)
9. Factor the following trinomial. 6x2 + 11x — 10
a) (3x — 2)(2x — 5) b) (3x + 2)(2x — 5)
c) (3x — 2)(2x + 5) d) (x + 6)(11x — 10)
, 10. Factor the following polynomial. 25x2 + 40x + 16
a) (5x + 4)(5x — 4) b) (5x + 4)(5x + 4)
c) (5x — 4)(5x — 4) d) (x + 40)(25x + 16)
11. Write the following complex number in standard form a + bi.
—24 + √—126
3
a) —8 + 14i b) —8 — i√14
c) —8 + i√126 d) —8 + i√14
12. Find the sum or difference. Write the answer in standard form a + bi.
(3 — 5i) — (—5 + 11i) + (9 + 6i)
a) 7 + 12i b) 7 — 10i
c) 17 + 12i d) 17 — 10i
13. Find the numerator of the quotient. Write the answer in standard form
a + bi.
