7th grade Formative Review

7th grade Formative Review

Multiple Choice

A taxi charges a fixed fee plus a charge per mile (x = miles). The total cost can be calculated with the equation:

f(x) = 2.75x + 4.25

What does 4.25 represent?

• The total cost of the fixed fee plus charge per mile

• The charge per mile

• Miles

• The fixed fee

• Karma

Multiple Choice

A taxi charges a fixed fee plus a charge per mile (x = miles). The total cost can be calculated with the equation:

f(x) = 2.75x + 4.25

What does x represent?

• The total cost of the fixed fee plus charge per mile

• The charge per mile

• Miles

• The fixed fee

• Karma

Multiple Choice

A taxi charges a fixed fee plus a charge per mile (x = miles). The total cost can be calculated with the equation:

f(x) = 2.75x + 4.25

What does 2.75 represent?

• The total cost of the fixed fee plus charge per mile

• The charge per mile

• Miles

• The fixed fee

• Karma

Solving Two-Step Equations

• Your goal is to isolate the variable (get it by itself)

• Use inverse (opposite) operations

• Undo Addition or Subtraction

• Undo Multiplication or Division

What if I have parentheses?

You may need to distribute first, like in #4 in the video

 $2\left(y-8\right)=24$  

What if I have more than two terms?

 If you have an equation with more than two terms on the left side, you may need to combine like terms like in this example:

 $3x-8+5x=10$  
Combine 3x and 5x to get:
 $8x-8=10$  

Multiple Choice

What is the first step to complete when solving this equation?
10 - 3y = 4

• Add 10
• Subtract 10
• Add 3
• Divide by -3

Multiple Choice

Solve for b:
 3(b - 4) = -3

• b = 3
• b = -3
• b = 5
• b = -5

Solving and Graphing Inequalities

• Solve the inequality like you would an equation

• Make sure to flip the inequality symbol if you multiply or divide by a negative number while solving

• Graph your solutions on a number line

Multiple Choice

Pick the correct inequality.

• x < -6
• x ≥ -6
• x > -6
• x ≤ -6

Multiple Choice

s + 9 ≥ -25

• s ≥ -18

• s ≥ -34

• s ≤ 18

• s ≥ 34

Multiple Choice

When graphing an inequality, you use an OPEN dot when you use which symbol?

• <, >
• ≤, ≥ 
• ≤, <
• ≥, >

Multiple Choice

-12y - 11 < 49

• y < -5
• y > - 5
• y > 5
• y < 5

Unique Triangles

• If given all the sides of a triangle, you can only make one unique triangle

• If given all the angles in a triangle, you can make infinite triangles with those angles because when you stretch and shrink it the angles stay the same

Cross-Sections of 3D Shapes

• When we slice a 3D shape we create what is called a "cross-section"

• If we slice a shape parallel to its base (in the same direction as the "bottom" of the shape), then the cross-section is the same shape

• If we slice a shape perpendicular to the base (so that it cuts through the "bottom" of the shape), the the cross-section is the same shape as its sides

Multiple Choice

What shape does this cross section make?

• Rectangle
• Circle
• Triangle
• Square

Multiple Choice

What shape does this cross section make?

• Rectangle

• Circle

• Triangle

• Square

Circles

• The "circumference" of a circle is like its perimeter - the distance around the shape

• The area of a circle is how many space is inside it

• The number pi (π) is 3.14159... but we usually use 3.14

Circumference

 $C=2\pi r$  

Circumference

 $C=\pi d$  

Area of a Circle

 $A=\pi r^2$  or  $A=\pi\times r\times r$  

Multiple Choice

what is the circumference of this circle ?

• 3.14 cm 
• 37.68 cm
• 24 cm
• 68.4 cm

Multiple Choice

find the area of the circle below.

• 100 cm
• 225 cm
• 9 cm
• 28.26 cm

Multiple Choice

What is the radius of this circle?

• 18

• 10

• 9

• 8

Angle Pairs

• Complementary - add up to $90\degree$  

• Supplementary - add up to  $180\degree$  

• Vertical angles - congruent (equal to each other)

Multiple Choice

1. Find X 

• 28
• 5
• 55
• 40