M1 Algebra and Functions 1 Benchmark Review

Algebra and Functions 1 Benchmark Review

Undo any multiplication or division

Step 2:

Undo any addition or subtraction

Step 1:

Solving Equations

Math Response

Enter the value of x that makes the given equation true.

$$12x=3$$

Type answer here

Correct Answer: x=\frac{1}{4}

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If you multiply or divide both sides of an inequality by a negative, you must reverse the inequality symbol.

​Remember:

1.Use the same steps for solving equations. Undo addition/subtraction first, then undo multiplication/division.

​Steps:

Solving Inequalities

Math Response

Solve the inequality for x.

$$14<x-3$$

Type answer here

Correct Answer: x>17

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Multiple Choice

Which inequality represents all possible solutions of $$-12d\ge-6$$ ?

• $$d\le-\frac{1}{2}$$

• $$d\ge-\frac{1}{2}$$

• $$d\le\frac{1}{2}$$

• $$d\ge\frac{1}{2}$$

Math Response

There are 221 students on a field trip.

-Five students ride in a van

-The rest of the students fill 6 buses

Enter an equation that can be solved to find the number of students, y, that are on each bus.

Type answer here

Correct Answer: 6y+5=221

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Math Response

There are 221 students on a field trip.

-Five students ride in a van

-The rest of the students fill 6 buses

Enter the number of students that are on each bus.

Type answer here

Correct Answer: y=36

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Solution to an equation

What does it mean for an ordered pair to be a solution to an equation?

Multiple Choice

Select the ordered pair that is a solution to the equation represented by the graph.

• $$\left(4,\ 0\right)$$

• $$\left(2,\ 3\right)$$

• $$\left(5,\ 0\right)$$

• $$\left(3,\ 2\right)$$

Multiple Choice

Select the ordered pair that is a solution to the equation represented by the graph.

• $$\left(-4,\ 4\right)$$

• $$\left(-2,\ 0\right)$$

• $$\left(-2,\ 4\right)$$

• $$\left(4,\ 0\right)$$

​Systems of linear inequalities

You have to know when to use a dashed line and a solid line.

>, < use a dashed line to graph

>=, <= use a solid line to graph

Multiple Choice

Select the graph that shows the solution set of the system of linear inequalities.

$$y\le3+\frac{1}{2}x$$

$$y>6-\frac{2}{3}x$$

Multiple Choice

Select the graph that best represents the solution set of the system of linear inequalities.

$$y\ge-\frac{2}{5}x+4$$

$$y>5x+2$$

Match

Match the appropriate table of values to its equation.

• $$f\left(x\right)=-4x-\left(-\right)\ \frac{1}{4}$$

• $$f\left(x\right)=-4x+\left(-\right)\ \frac{1}{4}$$

• $$f\left(x\right)=4x+\left(\frac{3}{4}\right)$$