Chapter 7 Multiple choice questions

. Multiply out the following brackets and simplify: (3x + 5)(2x + 7).

6x² + 31x + 35

5x + 35

6x² + 17x + 12

17x² + 5x + 12

. Multiply out the following brackets and simplify: (6x − 11)(4x + 5).

10x − 55

24x² − 14x − 55

24x² + 14x − 55

24x² − 14x + 55

. Multiply out the following brackets and simplify: (4a + 3b)².

16a² + 24ab + 9b²

49a²b² + 12

9a² + 24ab + 16b²

16a² + 9b²

. Factorize the following equation: 9y² − 3y⁴ + 12y³.

y²(3 − y²+ 4y)

3y(3 − y²+ 4y)

y²(9y − 3y³+ 12y)

3y²(3 − y²+ 4y)

. Factorize the following: (2a − )(6 − a) − (a − 30).

2a

2(8a − a²- 30)

2a(8 − a)

−2a(a + 1)

. Factorize 100 − y².

(10 − y)(10 + y)

(50 − y)(2 + y)

(10 − y)²

(10 + y)(10 + y)

. Factorize the equation: 64a² − 49c⁴.

(8a + 7c)(8a − 7c)

(4a − 7c²)(16a + 7c²)

(8a − 7c²)(8a + 7c²)

(2a + 7c²)(32a − 7c²)

. Factorize the following quadratic equation: x² − 8x − 48.

(x − 4)(x + 12)

(x + 2)(x − 24)

(x + 24)(x − 2)

(x + 4)(x − 12)

. Factorize the following quadratic equation: 3x² − 13x − 30.

(3x − 6)(x + 5)

(3x − 5)(x + 6)

3(x − 2)(x + 5)

(x − 5)(x + 6)

. Using equation (7.5), find the values of x which satisfy the equation: 5x² − x − 6 = 0.

\frac{1 \pm \sqrt{119}}{10}

−0.4 and −0.6

1.2 and −1

1 and −1.2

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