topic badge

2.03 Solving multi-step equations

Interactive practice questions

Consider the equation $9\left(n+5\right)=4n+50$9(n+5)=4n+50 for $n=1$n=1.

a

Find the value of the left-hand side of the equation when $n=1$n=1.

b

Find the value of the right-hand side of the equation when $n=1$n=1.

c

Consider your answers from parts (a) and (b).

Is $n=1$n=1 a solution of $9\left(n+5\right)=4n+50$9(n+5)=4n+50?

No

A

Yes

B
Easy
2min

Consider the equation $0.28n-0.4=2.3n-3.03$0.28n0.4=2.3n3.03 for $n=0.8$n=0.8.

Easy
3min

Is $p=0$p=0 a solution to the equation $3p-9=7p-1$3p9=7p1?

Easy
< 1min

Is $x=-2$x=2 a solution of $3x-\left(4x-8\right)=-6$3x(4x8)=6?

Easy
1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

I.A.REI.1

Explain each step in solving a linear equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method. Students will solve exponential equations with logarithms in Secondary Mathematics III.

I.A.REI.3

Solve linear equations and inequalities in one variable.

What is Mathspace

About Mathspace