Back to Tutor Intake Assessment: Solve linear equations with rational number coefficients

8.EE.C.7.b Tutor Intake -- Linear Equations with Rational Coefficients

This short check helps your tutor see where to start. Work each problem on
your own, without a calculator. If you are not sure, give your best try —
every answer helps your tutor plan your first few sessions.

Grade 8·8 problems·~9 min·Common Core Math - Grade 8·standard·8-ee-c-7b

Work through problems with immediate feedback

Concepts

To simplify $3(2x - 4)$ , which expansion is correct?

$6x - 12$ — the 3 multiplies both $2x$ and $-4$ .

$6x - 4$ — the 3 multiplies only the first term, $2x$ .

$6x - 12x$ — the 3 multiplies both terms by $2x$ 's coefficient.

$5x - 4$ — the 3 and $2x$ combine by addition.

A student solves an equation and gets $x = 9$ . Which step
correctly verifies this solution?

Substitute $x = 9$ into the ORIGINAL equation and confirm both sides come out equal.

Substitute $x = 9$ into any simplified version of the equation from partway through the solving process.

Check that 9 is a whole number, since whole-number answers are always correct.

No verification is needed if each individual step "looked right" while solving.

Procedures

Solve $(2/3)x + 5 = 11$ . Enter the value of $x$ .

Solve $(1/4)x - (3/2) = (5/8)$ by clearing fractions (multiply
every term by the LCD, 8). Enter the value of $x$ as a fraction
or whole number.

Solve $0.3x + 1.5 = 4.2$ . Enter the value of $x$ .

Solve $3(2x - 4) + 5 = 2(x + 3)$ . Enter the value of $x$ as a
fraction or whole number.

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