250403 algebra skills review

Algebra Skills Review

By BRETT HOWIE

Multiple Choice

• x = 20
• x = 7
• x = 10
• x = 3

Multiple Choice

What is the first step to solve for b:

2b = -16

• add 2 to both sides

• subtract 2 to both sides

• multiply 2 to both sides

• divide 2 to both sides

Multiple Choice

What would be the best first step to solving the equation?

• multiply both sides by 3
• multiply both sides by 4
• divide both sides by 3
• divide both sides by 4

Multiple Choice

To Solve the Equation Below, you'd
x - 62 = 123

• add 62 to each side
• subtract 62 from each side
• multiply each side by 62
• Add 123 to each side

Multiple Choice

x+ 3=10

• 3

• 10

• 13

• 7

Multiple Choice

Use your calculator, scrap paper, or whiteboard to solve the one step equation

• 55

• 35

• 31

• 66

Multiple Choice

Level 2

Solve for a

• a= -2

• a= -7.5

• a= 2

• a= 6

Multiple Choice

Level 3

Solve for a

• a= -2

• a= -6

• a= 3

• a= 15

Multiple Choice

Level 3

Identify the steps to solve for b

• Add 6 to both sides and divide both sides by 5

• Add 6 to both sides and multiply both sides by 5

• Subtract 6 from both sides then multiply both sides by 5

• Subtract 6 from both sides then divide both sides by 5

Multiple Choice

$$21=3+4n+5n$$  

• 9

• $$-7$$  

• 6

• 2

Multiple Choice

$$x+2+6=8$$  

• 0

• 14

• 8

• 4

Multiple Choice

$$-118=-5\left(4+7x\right)+7$$  

• $$-5$$  

• $$-9$$  

• $$3$$  

• $$-1$$  

Multiple Choice

$$96=6\left(k+8\right)$$  

• $$12$$  

• $$8$$  

• $$-4$$  

• $$9$$  

Multiple Choice

$$97=-3\left(6n-5\right)-8$$  

• $$-10$$  

• $$16$$  

• $$-5$$  

• $$-2$$  

Multiple Choice

3y + 6 + 4y - 7 = -8

• y=-1

• y=-8

• y=1

• y=7

Multiple Choice

3x + 2(4x - 4) = 3

• 4
• 3
• 2
• 1

Linear Graph

• An equation whose graph is a line is a linear equation.

• You can plot points on a coordinate plane to graph a linear equation.

• Example: y = -4x + 4.

X and Y Intercepts

• Linear equations have x and y-intercepts. 

• The x-intercept is the x-coordinate of the point at which the graph crosses the x-axis.

• The y-intercept is the y-coordinate of the point at which the graph crosses the y-axis. 

Multiple Choice

What is the x-intercept of the graph?

• (5,0)

• (0,5)

• (0,4)

• (4,0)

Multiple Choice

What is the y-intercept?

• (0,15)

• (3,0)

• (15,0)

• (0,3)

Multiple Choice

What is the y-intercept?

• (2,0)

• (0,2)

• (0,-2)

• (-2,0)

Graphing an Equation

• You need only 2 points to graph a line.

• You can choose a value for x, and then evaluate for y.

Make a Table of Values or T-Chart

• Choose a value for x, plug in, and solve for y.

• Do this 2 or 3 times.

• Then, use the points to graph your equation.

Build a t-chart

• The Red Arrow shows y=-4 after simplifying.

• The Green Arrow shows y=0 after simplifying.

• The Yellow Arrow shows y=4 after simplifying.

Graph

• Plot each ordered pair.

• Connect with a line.

• The points were (0,-4), (2,0), (4,4)

Fill in the Blank

If x = 2, in the equation y = 3x - 5, what is the value of y?

Fill in the Blank

If x = 0, in the equation y = -2x - 4, what is the value of y?

-

Fill in the Blank

If x = -2, in the equation y = -3x - 10, what is the value of y?

-

Fill in the Blank

If x = -6, in the equation y = 5x + 7, what is the value of y?

-

Multiple Choice

Which of the following shows a linear equation?

Multiple Select

Which graphs represent linear functions? Select all that apply.

Systems of Linear Equations

Algebra 1

Mrs. LaGrange

Multiple Choice

The first step to solving the equation g - 3 = -12 is to . . .

• divide by -3 on both sides of the equal sign

• multiply by -3 on both sides of the equal sign

• subtract 3 on both sides of the equal sign

• add 3 on both sides of the equal sign

Multiple Choice

From the last equation g - 3 = -12, after you add 3 on both sides of the equal sign, what is your answer?

• g = -15

• g = -9

• g = 36

• g = 15

Multiple Choice

What is the first step to solve this equation:
11 - 3x = 44

• Add 3 to both sides
• Subtract 11 from both sides
• Add 11 to both sides
• Divide 3 on both sides.

Multiple Choice

What is the first step in solving for w in the equation 3w + 5 = 14?

• Add 5 to both sides of the equal sign

• Divide by 3 on both sides of the equal sign

• Subtract 5 from both sides of the equal sign

• Multiply by 3 on both sides of the equal sign

Fill in the Blank

What is the solution for x given the graph to the systems of equations

Multiple Choice

What is the solution to the systems of equations shown in the graph?

• 1 Solution x=-1/2

• 1 Solution y=-1/2

• Many Solutions

• No Solution

Multiple Choice

What is the solution to the systems of equations shown in the graph?

• 1 Solution x=-1/2

• 1 Solution y=-1/2

• Many Solutions

• No Solution

Fill in the Blank

Find the answer using substitution: Please list your answer as a coordinate (x,y)

(

,

)

Fill in the Blank

Find the answer to the systems using substitution: List the solution as a coordinate (x,y):

(

,

-

)

The vertex is the turning point of a parabola. Here, it is called a maximum point because it's the highest the ball goes

Multiple Choice

What is the maximum point of this parabola?

• (3, 5)

• (5, 3)

• (5, 0)

• (1, 0)

The vertex can also be a minimum point.

Multiple Choice

What is the minimum point of this parabola?

• (0, 7)

• (2, 3)

• (-2, 3)

• (3, 5)

The vertex is the turning point

Minimum and Maximum points are different styles of vertex

Some parabolas

Open Upward

Some parabolas

Open Down

Multiple Choice

When you throw a basketball through the air, the path it follows is a parabola. The parabola opens...

• UP

• DOWN

X-intercepts AKA Zeros

• Zeros is another name for x-intercepts because the y-coordinate there is 0

• Parabolas can have 0, 1, or 2 zeros

• Most real world stuff has two

Multiple Select

Select the x-intercepts of this graph.

• (0, 6)

• (-2, 0)

• (-5, 0)

• (-4, -2)

All parabolas have symmetry

• The "axis of symmetry" cuts right down the middle and intersects the vertex

• It has an equation like any other vertical line

• x = 6

Multiple Choice

What is the equation for the axis of symmetry?

• x = 3

• y = 3

• y = 5

• x = 5