SBA Math Reviewer

SBA Math Reviewer

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Skills in SBA Math - Numbers and Operations

Solves problems involving numbers

Analyzes the step in simplifying expression

Converts non terminating decimal to fraction

Solves problem using Venn Diagram

Illustrates the laws of exponents

Divides two fractions

Expresses number in scientific notation

Adds two fractions

Skills in SBA Math - Numbers and Operations

Simplifies absolute value of a number

Performs operations of real numbers

Estimates the square root of a number

Analyzes the relationships among numbers

Locates number in a number line

Translates verbal to mathematical phrases

Simplifies operations of integers

Expresses number with significant figures

Skills in SBA Math - Algebra

Evaluates expressions for given values

Solves problems involving length

Solves problems involving age

Rearranges algebraic equations

Determines the greatest common factor

Illustrates different properties of operations

Evaluates algebraic equations

Skills in SBA Math - Algebra

Graphs the solution set of inequality

Determines the sum of polynomials

Finds the solution set of equation

Determines the factor of a polynomial

Simplifies algebraic expressions

Uses models the square of a binomial

Analyzes the step in simplifying polynomials

Skills in SBA Math - Algebra

Evaluates the product of polynomials

Solves problems involving speed

Evaluates algebraic equations

Finds the solution set of inequality

Finds the complement of a set

Evaluates the product of two binomials

Solves problems involving work

Skills in SBA Math - Algebra

Identifies numerical coefficient

Solves algebraic equations

Solves problems involving numbers

Represents mathematical expression

Determines the degree of polynomials

Simplifies expressions with exponents

Translates verbal to mathematical phrases

Skills in SBA Math - Geometry & Measurement

Converts measurements from one unit to another

Solves problem involving area

Derives relationship among the sides and angles

Derives relationship of linear pairs

Illustrates location of segment in a plane

Determines the length of a segment

Solves problem involving supplementary angles

Skills in SBA Math - Geometry & Measurement

Identifies a reflex angle

Solves problems involving temperatures

Solves problems involving triangles

Illustrates a parallelogram

Identifies the major arc

Illustrates convex polygon

Solves problem involving supplementary angles

Skills in SBA Math - Statistics

Draws conclusion from graphical presentations

Evaluates the average of numbers

Multiple Choice

1. The measure of an angle is 30 less than twice its supplement. What is the measure of the larger angle?

• $15\degree$

• $70\degree$

• $110\degree$

• $165\degree$

Multiple Choice

Which of the following is the longest measurement?

• 25 miles

• 35 kilometers

• 60 feet

• 120 centimeters

Multiple Choice

Simplify the expression,  $14y+2\left(6+3y\right)$  

•  $10y+6$  
  

•  $20y+12$  
  

•  $5y+12$  
  

•  $10y+12$  
  

Multiple Choice

As shown in the figure,  $\angle CAB$   and  $\angle CAD$   are supplementary angles and the measure of  $\angle CAB$   is 80 degrees. Find the measure of  $\angle CAD$  .

•  $10\degree$  

•  $40\degree$  
  

•  $100\degree$  
  

•  $120\degree$  
  

Multiple Choice

Which of the following is a reflex angle?

Multiple Choice

what is the simplified form of $\frac{1}{2}-3+\frac{1}{4}$ ?

•  $-2\frac{1}{4}$  

•  $-2\frac{1}{2}$  

•  $2\frac{1}{4}$  

•  $2\frac{1}{2}$  

Multiple Choice

The ratio of the angles of a triangle is 3:4:5. What is the measure of the largest angle?

• 36 degrees

• 60 degrees

• 75 degrees

• 150 degrees

Explanation

Let the angles be x. Then,

3x + 4x + 5x = 180

⇒ 12x = 180

⇒  x = 180/12

⇒  x = 15

Therefore x° = 15

Here the largest in the ratio is 5 so we can write that 5x is the largest angle.

5x = 5×15 = 75°

Thus the largest angle is 75°.

Multiple Choice

Given the Venn Diagram, which of the following operations describes the shaded portion?

•  $(A∪B')∩C$  

•  $(A∪B)∪C$  

•  $(A∪B)∩C$  

•  $(A∪B)∪C'$  

More about Venn Diagrams (from Mathisfun)

scan QR code

Multiple Choice

Which of the following can be combined in simplifying the polynomial $2x+3-8y+6+7x^2+8x$ ?

•  $-8y\ and\ 8x$  
  

•  $3\ and-3x$  
  

•   $3\ and\ 6$  

•   $2x\ and\ 7x^2$  

Multiple Choice

What is the sum of  $6x^3-4x^2+3$   and  $-2x+7x^2-5$   ?

•  $4x^3-3x^2+2x+2$  
  

•  $4x^3+3x^2+2x-2$  
  

•   $6x^3-3x^2+2x+2$  

•   $6x^3+3x^2-2x-2$  

Multiple Choice

In a class of 50 students, 18 students are enrolled in Sports, 26 students are enrolled in Cooking and 2 students are enrolled in Cooking and Sports. How many students in the class are enrolled in neither Cooking nor Sports?

• 2 students

• 4 students 
  

• 6 students

• 8 students

Multiple Choice

Which of the following is a numerical coefficient of the term  $x^2y^3z^4$ ?

• 4

• 3
  

• 2

• 1

Multiple Choice

If  $x=3$ and  $y=5$  , what is the value of the expression,  $2x+7y$  ?

• 41

• 32

• 25

• 17

Multiple Choice

Which of the figures below is NOT a parallelogram? (congruent segments are marked)

• A

• B

• C

• D

Properties of parallelogram

Opposite sides are congruent.

Opposite angels are congruent.

Consecutive angles are supplementary.

The diagonals of a parallelogram bisect each other.

Each diagonal of a parallelogram separates it into two congruent parts.

Multiple Choice

What is the value of x in the equation  $\frac{1}{2}x+\frac{2}{3}=2\frac{2}{3}-0.5x$ ?

• 5

• 4

• 3

• 2

Multiple Choice

John is now “x - 5 ” years old. How old will he be 5 years from now? 

• x - 10

• 5x - 5

• x

• x + 5

Multiple Choice

Transform “8 less than twice a number” to algebraic form.

• 8 - 2x

• 2x - 8

• 2(x - 8)

• 2(8 - x)

"less than" in algebra

Be very careful when dealing with the keywords “less than”. The first quantity that comes before the “less than” keywords which is ” a number” is the subtrahend. While the quantity that comes after it becomes the minuend. In other words, we are going to subtract 8 from twice the number. If we choose our variable to be the letter x, we get 2x - 8.

Multiple Choice

What is the simplified form of  $\frac{4x^2y^4}{6x^3y^3}$ ?

•  $\frac{2x}{3y}$  
  

•  $\frac{2y}{3x}$  
  

•  $\frac{3x^5}{2y^7}$  

•  $\frac{3y^7}{2x^5}$  
  

Multiple Choice

A mother is 3 times as old as her daughter. The sum of their ages is 60. How old is the mother?

• 10 years old

• 15 years old

• 45 years old

• 55 years old

Multiple Choice

In the given figure, two parallel lines m and n are cut by a transversal l. Which of the following pairs of angles are congruent?

•  $\angle5\ \&\ \angle2$  
  

•  $\angle7\ \&\ \angle1$  

•  $\angle5\ \&\ \angle4$  

•  $\angle3\ \&\ \angle8$  

Multiple Choice

The quotient of 3/4 and 8/5 is

• 24/20

• 47/20

• 15/32

• 2/15

Multiple Choice

What is the product of $\left(x+1\right)$  and $\left(2x-3\right)$ ? 

•  $2x^2-x-3$  
  

•  $2x^2-x+3$  
  

•  $x^2-5x-3$  
  

•  $2x^2+5x-3$  
  

Multiple Choice

Find the solution of the equation, $5x+1=36$ 

•  $\frac{5}{37}$  
  

•  $\frac{37}{5}$  
  

•  $7$  
  

•  $9$  
  

Multiple Choice

Simplify: $2[3+4(6-10)]$  

• -56

• -26

• -34

• -18

Multiple Choice

Convert 0.555… to fraction.

• 4/7

• 5/9

• 6/11

• 7/13

Multiple Choice

What is the degree of a given polynomial?  $16+12x-15x^3+14x^5-2x^7$  

• 3

• 5

• 7

• 16

Multiple Choice

When the smaller number of two consecutive integers is added to four times the larger number, the result is 54. What is the smaller number?

• 53

• 27

• 11

• 10

Multiple Choice

Given:  $F=\frac{9}{5}C+32$  , what is the value of C if F = 95?

• 35

• 52

• 65

• 66

Multiple Choice

If a place mat is 40 cm by 30 cm, what area of the table will it cover?

• 70 sq cm

• 1200 sq cm
  

• 1400 sq cm
  

• 1600 sq cm
  

Multiple Choice

If five times a certain number equals 120, what is the number?

• 12

• 24

• 52

• 115

Multiple Choice

Using the order of operation, which of the following will be the first step in simplifying the expression?  $2\left[\frac{3-4(5^2-6)}{7}\right]$  

• Multiply 5 by 4

• Subtract 6 from 5

• Subtract 4 from 3

• Get the square of 5
  

Multiple Choice

Which of the following statements is equivalent to the expression,  $n(n)(n)(n)(n)^2$  

•  $6n$  
  

•  $5n^2$  
  

•  $n^6$  
  

•  $n^8$  
  

Multiple Choice

Find the sum of 3/8 and 4/9.

• 1/6

• 5/72

• 27/32

• 59/72

Multiple Choice

Which of the following is the solution set of the of the inequality, 3r < -18?

On graphing linear inequalities in one variable (from Mathplanet)

Scan QR code

Multiple Choice

Which of the following is the algebraic translation of the phrase “10 fewer than the number”?

• n < 10

• 10 < n

• 10 - n

• n - 10

Multiple Choice

Express 0.0006789 in scientific notation with 2 significant figures.

•  $7×10^{-3}$  
  

•  $6.7×10^{-4}$  
  

•  $6.8×10^{-4}$  
  

•  $6.7×10^{-5}$  
  

Multiple Choice

Which of the following is equivalent to –0.00000273?

•  $-2.73×10^6$  
  

•  $-2.73×10^{-6}$  
  

•  $2.73×10^6$  
  

•  $2.73×10^{-6}$  
  

Multiple Choice

Which of the following values of  satisfy the inequality,  $-2x≥8$  ?

•  $x≤4$  
  

•  $x\ge4$  
  

•  $x≤-4$  
  

•  $x\ge-4$  
  

Multiple Choice

The area of a rectangle is 120 square meters and the width is 4 meters. What is the length of the rectangle?

• 30 m

• 56 m
  

• 72 m

• 116 m

Multiple Choice

If  $x$ represents a negative number, which of these is a positive number?

•  $x^2$  
  

•  $x^3$  
  

•  $2x$  
  

•  $\frac{x}{2}$  
  

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