Algebra 1 Graphs Solutions Quiz – Free PDF

Contents

This algebra 1 graphs solutions quiz asks 10 multiple-choice questions on graphs as solution sets, linear-quadratic systems and exponential expressions, and each answer comes with a short explanation.

Answer these 10 multiple-choice questions on solutions and graphs of equations, systems with a line and a parabola, exponential graphs and exponent rules. Each question has one correct answer. Substitute to check before you choose.

Algebra 1Common Core: A-REI.D.10 · A-REI.C.7 · F-IF.C.7e · A-SSE.B.3c

🎯 Graphs as Solution Sets, Linear-Quadratic Systems and Exponential Expressions – Algebra 1 math quiz

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Question 1

Which ordered pair is a solution of \(y=3x-4\)?

A \((5,3)\)

B \((2,3)\)

C \((3,5)\)

D \((4,-8)\)

Question 2

The graph shows \(y=x^{2}\) and \(y=x+2\). What are the solutions of the system?

A parabola and a line.

A \((-1,1)\) and \((2,4)\)

B \((-1,1)\) and \((4,2)\)

C \((-2,4)\) and \((1,1)\)

D \((0,0)\) and \((2,4)\)

Question 3

Solve \(y=x^{2}\) and \(y=3x+4\).

A \((-1,1)\) and \((4,16)\)

B \((1,-1)\) and \((4,16)\)

C \((-1,1)\) and \((4,7)\)

D \((1,7)\) and \((-4,16)\)

Question 4

How many solutions does the system \(y=x^{2}+2\) and \(y=1\) have?

A 1 solution

B 2 solutions

C infinitely many solutions

D 0 solutions

Question 5

What is the y-intercept of \(y=6\left(\frac{1}{2}\right)^{x}\)?

A \((0,0.5)\)

B \((6,0)\)

C \((0,1)\)

D \((0,6)\)

Question 6

What is the horizontal asymptote of the graph of \(y=2^{x}-3\)?

The graph of y = 2^x − 3.

A \(y=0\)

B \(x=-3\)

C \(y=-3\)

D \(y=3\)

Question 7

What happens to \(y=3\cdot 2^{x}\) as \(x\) gets very small (large and negative)?

A \(y\) gets very large and negative

B \(y\) approaches 3

C \(y\) gets very large and positive

D \(y\) approaches 0

Question 8

Which expression equals \(4^{x}\)?

A \(2^{x/2}\)

B \(2^{2x}\)

C \(2^{4x}\)

D \(2^{x+2}\)

Question 9

An account grows by a factor of 1.08 each year. Using \(1.08^{t}=\left(1.08^{1/12}\right)^{12t}\), what is the monthly growth rate?

A about 0.67%

B about 6.4%

C about 0.64%

D about 0.08%

Question 10

A ball follows \(y=-x^{2}+4x\) and lands on a ramp \(y=x\). Besides the origin, where do the paths meet?

The ball path and the ramp.

A \((4,0)\)

B \((3,3)\)

C \((2,4)\)

D \((1,3)\)

🎉 Quiz complete!

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How does this quiz work?

Read each question, choose one answer among A, B, C and D, then check it: a short explanation appears after every answer. Your score out of 10 is shown at the end, and you can restart the quiz as often as you like.

What should you review before the quiz?

Reread the key facts of the lesson and the worked example. If a question is hard, go back to the matching part of the lesson, then try the quiz again. Write your work on scrap paper: most mistakes come from skipping a step, not from the idea itself.

Remember:

Standards A-REI.D.10, A-REI.C.7, F-IF.C.7e and A-SSE.B.3c: graphs as solution sets, linear-quadratic systems, exponential graphs and rewriting exponentials.
A point is on the graph of an equation exactly when its coordinates satisfy the equation.
To solve a line-parabola system, set the two expressions for \(y\) equal, solve for \(x\), then find \(y\). There can be 2, 1 or 0 solutions.
For \(y=a\cdot b^{x}\) the y-intercept is \((0,a)\), there is no x-intercept, and the x-axis is an asymptote.
Rewrite with \(b^{mn}=(b^{m})^{n}\): \(1.15^{t}=(1.15^{1/12})^{12t}\) gives a monthly factor of about 1.0117.