Key takeaway: This algebra 1 linear equations quiz gathers ten items with answer options on solving equations, justifying steps, special cases, graphs, formulas and word problems. Choose one answer per question, then read the explanation.
Substitute your choice into the original equation before you commit, because that single check removes most wrong options. Some questions come with a drawing, such as a graph or a rectangle. Work in order, and skip any item that stalls you.
Answer these 10 multiple-choice questions on linear equations and literal equations. Each question has exactly one correct answer. Work the problem on paper first, then choose, and read the explanation for any miss.
🎉 Quiz complete!
Remember:
- Standards A-REI.A.1, A-REI.B.3, A-CED.A.1 and A-CED.A.4 cover justified solving, multi-step equations, writing equations and rearranging formulas.
- Every step must be backed by a property: equality properties, the distributive property, or combining like terms.
- Multiply by the least common denominator to clear fractions before solving.
- If the variable cancels, a false statement means no solution and a true statement means infinitely many solutions.
- To solve a formula for one letter, treat the other letters as numbers: for A = (1/2)bh, h = 2A/b.
What does the algebra 1 linear equations quiz check?
Question 1 solves \(3x-7=2x+5\) and gets 12. Next, question 2 asks which property justifies a step, and the answer is the distributive property. Then question 3 solves \(\frac{2}{3}x-1=5\) and gets 9. After that, question 4 reads \(x=2\) from the crossing of two lines.
The fifth item asks how many solutions \(2(x+4)=2x+9\) has, and the answer is none.
Which items catch common mistakes?
Solving \(A=\frac{1}{2}bh\) for b gives \(b=\frac{2A}{h}\). The temperature formula gives \(F=\frac{9}{5}C+32\). A rectangle with length \(w+6\) and perimeter 44 has width 8 feet. Mei’s shopping trip works backward: she has $12 left after spending half of what remained, so she had $24 after lunch and $38 at the start.
Finally, the decimal equation \(0.5x+3=0.2x+9.3\) gives 21.
How do you get the most from the explanations?
First, compare your steps with the model steps. Next, find the first difference. Then redo the item from that point. Also, write the property beside each line. As a result, your reasons improve along with your answers.
What should come after the quiz?
Rework each miss on paper and say the property aloud. After that, take the longer test, where every step must be written. Once that goes smoothly, make up a story problem that leads to \(4x+9=37\) and trade it with a friend.
See every chapter on the Algebra 1 math page.
