Deck 1: Linear Equations

Question 1

If x= - 3, y = 4 and z = - 2, evaluate 2x2 + 3y - 5z.

A)- 16
B)4
C)40
D)20
E)58

Answer 1

C

Question 2

How many of the following points lie on the line 3x - 5y = 25?

A)2
B)4
C)1
D)3
E)5

Answer 2

C

Question 3

Simplify

Answer 3

C

Question 4

If the line, is sketched with P on the horizontal axis, and Q on the vertical axis, which of the following gives the gradient, m, and vertical intercept, c?

Question 5

Transpose the formula $Y=\frac{b+I}{1-a}$
$\text { to express } a \text { in terms of } Y, b \text { and } I$

A)
$a=\frac{b}{Y}+\frac{I}{Y}+Y$
B) $a=\frac{b+I-1}{Y}$

C) $a=1+\frac{Y+I}{b}$

D) $a=\frac{I}{Y}-\frac{Y}{b}+1$

E) $a=1-\frac{b}{Y}-\frac{I}{Y}$

Question 6

If the following system of linear equations has infinitely many solutions, find the value of k. 6x - 4y = 2 - 3x + 2y = k

A)- 1
B)0
C)- 4
D)4
E)1

Question 7

Given that calculate the equilibrium level of national income.

A)175
B)187.5
C)125
D)487.5
E)75

Question 8

Multiply out the brackets and simplify