REVIEWER MATH 7
ALGEBRA:
I. Dividing Polynomials Using Synthetic Method
1. (4x2 - 24x + 35) ÷ (2x - 5)
a. 2x - 7
b. 2x - 12
c. 2x + 12
d. 2x + 7
ANSWER: A
2. (3x3 - 2x2 - 7x + 6) ÷ (x + 1)
a. 3x3 - 5x2 - 2x + 8
b. 3x2 + x - 6
c. 3x2 - 5x - 2 + 8/x+1
d. 3x3 + x2 - 6x
ANSWER: C
3. (2x3 - 5x - 7) ÷ (x - 2)
a. 2x3 - 4x2 + 3x - 13
b. 2x3 + 4x2 +3x - 1
c. 2x2 - 4x + 3 - 13/x-2
d. 2x2 + 4x + 3 - 1/x-2
ANSWER: D
4. (2x3 - 5x2 + 3x + 7) ÷ (x - 2)
a. 2x3 - x2 + x + 9
b. 2x2 - x + 1
c. 2x2 - x + 1 + 9/x-2
d. 2x2 - 9x - 15 - 23/x-2
ANSWER: C
5. If (x2+3x+7) is divided by (x+2), then what is the remainder?
a. 0
b. -3
c. 9
d. 5
ANSWER: D
6. What should be the order of the polynomial coefficients if (3x - 4x3 + 6x4 + 1) / (x +
3)
a. 3 0 -4 6 1
b. 6 -4 3 1 0
c. 6 -4 0 3 1
d. -6 4 0 -3 -1
ANSWER: C
7. For synthetic division, what would be the number in the left hand box?
a. 0
b. 1
c. 2
d. 3
ANSWER: C
8. If you were dividing x6 + 4x3 + 2, how many 0's would you need when setting up the
top row of your synthetic division?
a. 0
b2
c. 4
d. 6
ANSWER: C
II. Differentiating Algebraic Expressions and Equations
1. g divided by 9
a. 9g
b. g-9
c. 9/g
d. g/9
ANSWER: D
2. What are the variables of 7x+6y-9
a. 6, 7
b. 9
c. 6x+7y
d. x,y
ANSWER: D
3. Using the distributive property, simplify the expression: 2(a+4)
a. 8a
b. 6a
c. 2a+4
d. 2a+8
ANSWER: D
4. 8b + 12 = 52
a. b = 8
b. b = -8
c. b = 5
d. b = -5
ANSWER: C
5. 5d + 6 = 71
a. d = -13
b. d = 13
c. d = 11
d. d = -11
ANSWER: B
6. Simplify the following expression: 3 + 5x + 8 - 2x
a. -3x2 - 11
b. 3x2 - 11
c. 11 - 3x
d. 11 + 3x
ANSWER: D
7. Simplify the following expression: 19 + ( 3 - 5b)
a. 22 - 5b
b. 21 + 5b
c. 16 - 5b
d. 21 - 5b
ANSWER: A
III. Linear Equations and Inequalities
1. Solve for x: 7 - 2(10x + 1) = 25
a. 2/5
b. 2
c. 1
d. -1
ANSWER: D
2. Solve for x: 6(2x + 1) = 18
a. 3
b. 17/12
c. 1
d. 2
ANSWER: C
3. A toy company spends $1500 per day for factory expenses plus $8 to make each teddy
bear. They sell the teddy bears for $12 a piece. Which equation could be used to find
the number of bears t the company has to sell in one day to equal its daily cost?
a. 1500 + 8t = 12
b. 12 + 8t = 1500
c. 1500 + 8t = 12t
d. 8t = 12t + 1500
ANSWER: C
4. -35 ≤ -9n – 8
a. n ≤ -5
b. n ≥ -5
c. n ≤ 3
d. n ≥ 3
ANSWER: C
5. In the expression 3m + 8, the number 3 is called the ____________.
a. variable
b. constant
c. coefficient
d. answer
ANSWER: C
6. Write the linear inequality in standard form for this situation: Ms. Savva is ordering
pizzas and breadsticks for a school party and has a budget of no more than $81. An
order of breadsticks costs $7 and a pizza costs $13.
a. 7x + 13y < 81
b. 7x + 13y ≥ 81
c. 7x + 13y ≤ 81
d. 7x + 13y > 81
ANSWER: C
7. Write the linear inequality in standard form for this situation: A landscaping business
is purchasing plants from a nursery to finish a project. It will cost $14 each to buy each
tree and $5 each to buy each bush. The landscaper wishes to keep the spending under
$1000.
a. 14x + 5y ≥ 1000
b. 14x + 5y < 1000
c. 14x + 5y ≤ 1000
d. 14x + 5y > 1000
ANSWER: B
8. Miguel is twice as old as Dann. Three years from now, the sum of their ages will be 33.
How old are Miguel and Dann today?
a. x=9
b. x=1
c. x=3
d. x=5
ANSWER: A
GEOMETRY:
I. Points, Line and Plane
A. Identification
_____________1. It is the visual study of shapes, sizes, patterns and positions.
_____________2. He is the father of Geometry.
_____________3. An exact, fixed location in a space. It has no size and dimension.
_____________4. Set of infinite number of point. It has one dimension.
_____________5. It is a flat surface that extends endlessly in all directions. (2D)
ANSWERS: 1. Geometry 2. Euclid 3. Point 4. Line 5. Plane
B. Multiple Choice
_____________1. What object represent a point?
a. tip of a pen
b. top of a box
c. cover of a book
d. edge of a notebook
_____________2. What object shows a line?
a. star
b. floor
c. blackboard
d. electric wire
_____________3. What object shows a plane?
a. star
b. chalk
c. floor
_____________4. What object represented a line?
d. electric wire
a. star
b. wall
c. laser
d. chalkboard
____________5. Which of the statement below expresses a geometric plane?
a. surface of a table b. the sides of a chalkboard
d. thumbtack
c. the edge of a teacher table
ANSWERS: ADCDA
II. Subsets of a Line
1. Is a subset of a line which extends in one direction from a fixed point.
a. line segment
b. ray
c. parallel line
d. adjacent line
2. Is a subset of a line which has two endpoints.
a. line segment
b. ray
c. parallel line
d. adjacent line
3. How a line can be formed?
a. by joining an infinite number of points
b. by extending points
c. by using protractor
d. by using compass
4.
Two points in the line below is
a. coplanar
b. collinear
c. parallel
d. adjacent
5. What do you call points that are on the same plane?
a. coplanar
b. collinear
c. parallel
d. adjacent
ANSWERS: BAABA
III. Different Kinds of Angles
A. Multiple Choice
Directions: Read each statement below and write the letter of the correct answer on the
space provider.
______1. If angle H and angle I are complementary, then their sum is _____.
a. 60
b. 90
c. 180
d. 360
______2. If angle A is a complement of angle B and measure of angle B is 30, then
what is the measure of angle A?
a. 60
b. 90
c. 180
d. 360
______3. Angle X and angle Y are vertical angles, if measure of angle X is 75, then what
is the measure of angle Y?
a. 25
b. 100
c. 75
d. 180
______4. Two angles are supplementary if their sum is __________
a . 60
b. 90
c. 180
d. 360
______5. If two angles form a linear pair, then they are ____________.
a. complementary
b. supplementary
c. vertical
d. adjacent
______6. It is an angle whose measure is greater than 90 degrees but less than 180
degrees.
a. acute angle
b. right angle
c. obtuse angle
d. tri angle
______7. It is an angle whose measure is 90 degrees.
a. acute angle
b. right angle
c. obtuse angle
d. tri angle
______8. What figure illustrates an acute angle?
a.
b.
c.
d.
______9. It is an angle whose measure is less than 90 degrees.
a. acute angle
b. right angle
c. obtuse angle
d. tri angle
______10. What figure illustrates an obtuse angle?
a.
b.
c.
d.
ANSWERS: BACCBCBBAC
IV. Relationships of Different Geometric Figures
A. The figure below shows the collinear points H,A,V,E,S. Use this figure to answer the
following questions.
_____1. What is the length of HV?
a. 2
b. 3
c. 4
d. 5
_____2. Which of the following segment is congruent?
a. HA and AE
b. VE and ES
c. HS and AS
d. AE and VE
_____3. What is the length of HS?
a. 2
b. 3
c. 4
d. 5
_____4. What is the set of all points in HE ∩ ES?
a. HV
b. ray HS
c. E
d. S
_____5. What is the set of all points in HA U AV?
a. HV
b. ray HS
c. E
d. S
ANSWERS: ABCCA
B. Given: k ǁ l and h is a transversal.
1
2
3
4
_____6. What are the interior angles?
a. angle 1 and angle 3
b. angle 2 and angle 4
c. angle 1 and angle 4
d. angle 2 and angle 3
_____7. What are the exterior angles?
a. angle 1 and angle 3
b. angle 2 and angle 4
c. angle 1 and angle 4
d. angle 2 and angle 3
_____8. What are the corresponding angles?
a. angle 1 and angle 3
b. angle 2 and angle 1
c. angle 1 and angle 4
d. angle 2 and angle 3
_____9. If measure of angle 1 is 65 degrees, what is the measure of angle 2?
a. 65
b.90
c. 115
d. 125
____10. If measure of angle 3 is 65 degrees, what is the measure of angle 4?
a. 65
ANSWERS: DCA
b. 90
c. 115
d. 125
POLYGON:
Short Review Discussion:
I. Illustrating Polygons: A. Convexity B. Angles C. Sides
________1. A closed plane figures bounded by segments. It has three or more noncollinear segments joined at their endpoints called sides. It has three or more endpoints
on their sides called vertices. It has 3 or more angles.
________2. These are figures not bounded by segments. They don’t have at least 3
sides, 3 vertices and 3 angles.
________3. The intersection of two side.
________4. A segment joining two consecutive vertices.
________5. A segment joining any two nonconsecutive vertices.
ANSWERS: C,N,C,C,C
ANSWERS:
II. Relationship of Exterior and Interior Angles of a Convex Polygon