Question 1

Match the equations of lines on the left with equations of perpendicular lines on the right.

Question 2

Work out the equation of the line that is perpendicular to the line $3x-6y+1=0$ and passes through the point $(4,-2)$.

Accepted Answer

$y=-2x+6$

Answer

$y= \frac{1}{2}x+6$

Answer

$y= \frac{1}{2}x+3$

Answer

$y=2x+10$

Question 3

$n$ is an integer and $-1 \le n<5$. What are all the possible values of $n$?

Accepted Answer

$-1, 0, 1, 2, 3, 4$

Answer

$-1, 0, 1, 2, 3, 4, 5$

Answer

$0, 1, 2, 3, 4, 5$

Answer

$0, 1, 2, 3, 4$

Question 4

$n$ is an integer and $-6 < 2n \le8$. What are all the possible values of $n$?

Accepted Answer

$-2, -1, 0, 1, 2, 3, 4$

Answer

$-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8$

Answer

$-2, -1, 0, 1, 2$

Answer

$-3, -2, -1, 0, 1, 2, 3, 4$

Question 5

Solve the inequality $3x+5 >2$

Accepted Answer

$x>-1$

Answer

$x>-5$

Answer

$x>-9$

Answer

$x>1$

Question 6

Solve the inequality $20-5x  \ge0$

Accepted Answer

$4 \ge x$

Answer

$6 \ge x$

Answer

$-6 \ge x$

Answer

$-2 \ge x$

Question 7

Work out the set of values of $x$ for which $1<3x+4 \le 22$

Accepted Answer

$-1<x \le 6$

Answer

$-3<x \le 9$

Answer

$-5<x \le 8$

Answer

$-2<x \le 4$

Question 8

Work out the set of values of $x$ that satisfies both of these 
inequalities.
$\ 4x+1 \ge3 \ 5-x>3$

Accepted Answer

$\frac{1}{2} \le x < 2 $

Answer

$-2 \le x < 2 $

Answer

$- \frac{1}{2} \le x < 2 $

Answer

$1 \le x < 4 $

Question 9

What is the inequality that describes the shaded region?

Accepted Answer

$x \le 2$

Answer

$x  \ge 2$

Answer

$x >2$

Answer

$x < 2$

Question 10

What is the inequality that describes the shaded region?

Accepted Answer

$y<x+1$

Answer

$y>x+1$

Answer

$y+1<x$

Answer

$y<x$

Question 11

What are the three inequalities that define the shaded region?

Accepted Answer

$y \ge x, y<4, x+y \ge 2$

Answer

$x \ge y, y<6, x+y \ge 3$

Answer

$y \ge x, x<3, x+y \ge 4$

Answer

$y \ge x, x>3, x+y \le 4$

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