NZ Level 6 (NZC) Level 1 (NCEA)
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Identify solutions to linear inequalities

Interactive practice questions

We want to determine if $a=4$a=4 is a solution of $a+7$a+7$\le$$11$11.

a

Find the value of the left-hand side of the inequality when $a=4$a=4.

b

Is $a=4$a=4 a solution of $a+7$a+7$\le$$11$11?

Yes

A

No

B

Yes

A

No

B
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We want to determine if $y=7$y=7 is a solution of $7-y$7y$\le$$2$2.

We want to determine if $u=4$u=4 is a solution of $6u$6u$>$>$18$18.

The table shows the times of six swimmers in a $1500$1500 metre race. Only those who achieve a time of $22$22 minutes or below qualify for the final.

Use the inequality $t$t$\le$$22$22, where $t$t is the time of each swimmer, to find all of the swimmers who qualify for the final.

Outcomes

NA6-5

Form and solve linear equations and inequations, quadratic and simple exponential equations, and simultaneous equations with two unknowns

91027

Apply algebraic procedures in solving problems

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