Linear equation expressions (SAT/PSAT 8/9/10). Game on.

Linear equation expressions (SAT/PSAT 8/9/10) is a grade 9 math skill aligned to Common Core standard HSA.REI.B.3: solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 20 linear equation expressions (sat/psat 8/9/10) problems our math games drill.

CCSS HSA.REI.B.320 questions in the bank
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Warm-upeasy

If 3x+6=243x + 6 = 24, what is the value of 2x2x?

Subtract 66 from both sides: 3x=183x = 18, so x=6x = 6. Then 2x=26=12.2x = 2 \cdot 6 = 12\textsf{.}

Mid-gameeasy

If 2x+6=262x + 6 = 26, what is the value of 15x15 - x?

Subtract 66 from both sides: 2x=202x = 20, so x=10x = 10. Then 15x=1510=5.15 - x = 15 - 10 = 5\textsf{.}

Mid-gameeasy

If 6x=546x = 54, what is the value of x+7x + 7?

Divide both sides by 66: x=9x = 9. Then x+7=9+7=16.x + 7 = 9 + 7 = 16\textsf{.}

Mid-gameeasy

If 2x+8=222x + 8 = 22, what is the value of 3x3x?

Subtract 88 from both sides: 2x=142x = 14, so x=7x = 7. Then 3x=37=21.3x = 3 \cdot 7 = 21\textsf{.}

Mid-gameeasy

If 9x3=429x - 3 = 42, what is the value of x1x - 1?

Add 33 to both sides: 9x=459x = 45, so x=5x = 5. Then x1=51=4.x - 1 = 5 - 1 = 4\textsf{.}

Mid-gameeasy

If 8x+4=368x + 4 = 36, what is the value of 2x2x?

Subtract 44 from both sides: 8x=328x = 32, so x=4x = 4. Then 2x=24=8.2x = 2 \cdot 4 = 8\textsf{.}

Mid-gameeasy

If 12x=6012x = 60, what is the value of 5x5x?

Divide both sides by 1212: x=5x = 5. Then 5x=55=25.5x = 5 \cdot 5 = 25\textsf{.}

Buzzer beatereasy

If 3x15=03x - 15 = 0, what is the value of x+4x + 4?

Add 1515 to both sides: 3x=153x = 15, so x=5x = 5. Then x+4=5+4=9.x + 4 = 5 + 4 = 9\textsf{.}

Overtime

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