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If m and n are both odd integers, which of the following must be true ?
I. m² + n² is even
II. m = n is divisible by 4
III. (m + n)² is divisible by 4
If for some constant value b, the equation y = ∣2x – b∣ is satisfied by the point (5, 2), then which one of the following is a possible value of b?
On a map that is drawn to scale, two towns that are x kms apart are represented as being 4 cm apart. If two other towns are x + 2 kms apart, how many cm apart would they be on the same map?
A scale drawing is a sketch of an object with all distances proportional to corresponding distances on the actual object.
At 4 p.m., a flagpole casts a 20foot shadow. At the same time, a person 6 feet tall casts a 4foot shadow. What is the height of the flagpole?
Similar triangles are often used to solve problems when it is not practical to find a distance by measuring.
You can use proportions and knowledge of corresponding parts to find measurement problems in geometry.
Dividing a positive number by 3/4 and then multiplying by 2 is equivalent to ____
Is the following computation correct?
Predict the next number in the pattern below.
12, 6, 3, 1.5, 0.75, _____
For what value of y does 1/y = 3 ?
Translate the word phrase into an equation. “A number divided by four is negative six”. Use y as the unknown value.
Translate the word phrase into an equation. “Seven decreased by a number is 14”. Use y as the unknown value.
When does the expression: “x ” represent a positive number ?
Simplify the expression x – 2(x + 3x) + x²
If (x – y)(y – x) = 10, then (x – y)² = ___
If 2x² – 5x = 9, then 12x² – 30x = ___
If a + 3b = 27 and a – 3b = 9, then b = ?
Simplify the expression: w² – (w)².
If 3x² + 2x = 40, then 15x² + 10x = ?
Factorize x² – 3x – 10
Factorize the expression x² + 5x + 6
Factorize completely 2k + 4km – 6k²m
What number decreased by 7 equals 5 times the number?
The Kinetic energy, KE, of an object travelling at v velocity can be modeled by the equation KE = ½ x mv² , where m is the mass of the object. If an object is moving at a velocity of 9, and it has a kinetic energy of 120, about how much is the object’s mass?
If 20 – √x = 11, which of the following gives all possible values of x?
The weight of 1 pineapple and 2 oranges is 5.4 kg. The weight of 3 pineapples and 1 orange is 8.7 kg. What is the weight of a pineapple ?
The difference of two integers is 4 and their sum is 14. What is their product?
If (200)(400) = 8 x 10^{m}, then m =
If m/n > 1, which of the following must be true ?
The solution to the inequality x < 8 is the set of all real numbers less than 8. To display this solution graphically, an open circle is drawn around 8 as shown below. Which side of 8 should be shaded?
Which is the right inequality to insert into the space below?
2/5 ___ 3/5
Which is the right inequality to insert into the space below ?
3/5 ______ 2/5
Match the congruent sides of the figures above by dragging and dropping them in the boxes below.
AB


BC


AC


Match the congruent angles of the the figures above.
A


C


B


What is the area of the shaded region above?
A square has a perimeter of 36 centimeters. What is its area in square centimeters ?
In the figure above, what is the value of y ?
Find the perimeter and area of the figure above. You may use a calculator.
When dividing two exponentials with the same bases, you should ___ the coefficients, ___ the bases, and ___the exponents. E.g. 12y ⁴÷ 3y²
The three parts of an exponential are ____ , _____, and _____
Identify the parts of the circle below by matching the lines to their names.
The line ST


The line AB


The line OC


The point of tangency


The lime m


An arc of the circle


Sector of circle


The base of a pyramid is connected to a single point.
Pyramids and cones are 3D solids that have only one base.
Find the volume of the object shown below.
To find the area or volume of a figure made up of several shapes, find the area or volume of each of the parts and add the result.
Irregular figures can also be made up of common solid shapes.
Which of the answers below are the intercepts of the linear equation; 3x + 4y = 12 ?
The point (3, 4) is on a circle with its center at the origin. Which of the following points must also be on the circle?
If the point (3, 7) is the center of a circle and the point (8, 5) is on the circle, what is the circumference of the circle?
The distance on the map between Bamenda and Kumbo is 5.5 cm. What is the actual distance on the ground between the two towns?
(Scale: use 1 cm on the map to represent 10 km of actual distance).
Two variables, P and Q, are related in such a way that an increase in P produces an increase in Q and vice versa. How can this be expressed mathematically?
If a² = 6b, and a has the value of 6, what is the value of b?
What is the term used to define the exact position of a point on a graph?
What is the midpoint of the line segment whose endpoints are represented on the coordinate axis by the points (3, 5) and (4, 3) ?
Which of the following equations represents the linear relation shown in the standard (x, y) coordinate plane below ?
What is the slope of the line represented by the equation 10y – 16x = 13?
A recent survey was conducted on 26 families to find out how many children they each had. The responses were summarized by the histogram below.
What fraction of the families had two children?
From the previous problem, the 26 families that took the survey wants to show the data in a circle graph (pie chart). What should be the measure of the central angle to the nearest degree of the portion for families with two children?