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ACT Practice #2
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  • Slide 1
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    ACT Practice #2

    Bridge Math Fall 2020

    Mr. Marichal

    Hillwood High School

  • Slide 2
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    Arithmetic Sequence

    • A list of numbers where the difference between one term (number) and the next is constant

    • Example: 4, 6, 8, 10, 12, ... (common difference is 2)

    • Example 2: -4, -7, -10, -13, ... (common difference is -3)

  • Slide 3
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    Geometric Sequence

    • A list of numbers where the ratio between one term (number) and the next is constant

    • Example: 2, 6, 18, 54, ... (common ratio is 3)

    • Example #2: 5, 5/2, 5/4, 5/8, ... (commmon ratio is 1/2)

  • Question 4
    120 seconds
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    Q.

    What is the missing term in this series?


    3, 12, ?, 192, ...

    answer choices

    21

    15

    48

    100

  • Slide 5
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  • Slide 6
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    Solving a system of equations (substitution)

    • Step 1: Solve one of the equations for one of the variables

    • Step 2: Substitute what the variable equals in the solved equation into the other equation

    • Step 3: Solve the second equation (which should now only have one variable)

    • Step 4: Plug in the solution from step 3 to one of the original equations to solve for the other variable

  • Slide 7
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  • Question 8
    300 seconds
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    Q.

    If x-y = 18, x + y = 30, and x > y, what is the value of xy ?

    answer choices

    40

    200

    144

    125

    63

  • Slide 9
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    Factoring using the AC Method

    •  ax2+bx+cax^2+bx+c  

    • Step 1: Multiply a and c

    • Find two numbers that multiply to be the product from step 1 and also add to be b

    • Substitute those numbers for b

    • Factor by Grouping (see next slide)

  • Slide 10
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    Factoring by grouping

    • Group the first two terms and the second two terms together

    • Find the GCF of the first two terms

    • Find the GCF of the second two terms

    • Complete the factoring (see next slide for example)

  • Slide 11
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  • Slide 12
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  • Question 13
    300 seconds
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    Q.

    Which of the following is a factor of the polynomial

     2x2 −3x−52x^{2\ }-3x-5  ?

    answer choices

    x-1

    2x-5

    2x+5

    2x-3

  • Slide 14
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  • Slide 15
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    Trigonometry (Introduction)

    • In a right triangle, the ratios of sides in relation to an angle are described using trigonometric ratios

    • The ratios are sine, cosine, and tangent

    • Sine = opposite side divided by hypotenuse

    • Cosine = adjacent side divided by hypotentuse

    • Tangent = Opposite side divided by adjacent side

    • SOH-CAH-TOA

  • Slide 16
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  • Question 17
    120 seconds
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    Q.

    What is the sine of

     α\alpha  ?

    answer choices

    8/17

    15/17

    8/15

    17/8

  • Slide 18
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    Closing

    • How do you feel about today's material? Rate yourself on a scale of 1-5.

    • Homework: ACT Review Assignment #2 in Schoology

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