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WorksheetsRPA 10x1 Forming quadratics
Total questions: 10
Worksheet time: 14mins
The width of a classroom is 2m less than the length, and the area is 180m2. Identify the correct equation.
x2 - 2 = 180
x(x - 2) = 180
x(x - 2) + 180 = 0
x2 - 2x = 0
A girl is 3 years younger than her brother. The product of their ages is 238. If her brother's age is x, then identify the correct equation.
x - 3 * x = 238
x2 - 3x + 238 = 0
x2 + 3x + 238 = 0
x (x - 3) = 238
Two square rooms have a total floor area of 230m2. One is 4m bigger each way than the other. Let x be the size of the length of the smaller room. Set up an equation to describe the situation.
(x - 4)2 + (x + 4)2 = 230
2(x + 4)2 = 230
x ( x + 4 ) = 230
x2 + (x + 4)2 = 230
The two shorter side lengths of a right-angled triangle are xcm and (x+1)cm, the longest length (hypotenuse) is 5cm. Express this situation algebraically.
x2 + x = 5
x (x + 1) = 5
x (x + 1) = 25
x2 + (x + 1)2 = 25
I think of a whole number and multiply it with the next whole number. The answer is 56. Write this algebraically.
x2 + x + 56 = 0
x2 + 1 = 56
x(x + 1) = 56
xy = 56
When the numbers 10 and 19 are both increased by the same amount, the product of the new numbers is 360. Describe the situation algebraically.
(10 + x) (19 + x) = 360
10 + 19 + 2x = 360
10 x 19 = 360
(x + 10) (x + 19) = 0
A man is 39 years old and his daughter is 11 years old, how many years ago was the product of their ages 128? Set up an equation to illustrate this algebraically.
x2 + 50x + 128 = 0
(x - 39) (x - 11) = 128
39 x 11 = 128
(39 - x) (11 - x) = 128
The length of a rectangle is xcm and the width is 3cm less. The area is 10cm2. Which equation describes this situation?
x ( x + 3) = 10
x2 - 3x = 10
x2 - 6 = 10
x ( x - 3) + 10 = 0
A picture frame measures 20cm by 10cm. The frame surrounding it is the same width all the way round (xcm). The area of the frame only is 112cm2. Describe this situation algebraically.
60x + 4x2 = 112
2x(20 + 10) = 112
40x + 20x = 112
20x + 20x + 10x + 10x - 4x2 = 112
(x+3)2-5 = 9
