Mathematics

Grade10

Easy

Question

Find the product. (5k - 1)(5k + 1)

$25 k^{2} - 1$
$25 k^{2} - 1$
$25 k^{2} + 2 k - 1$
$25 k^{2} - 2 k - 1$

The correct answer is: $25 k squared minus 1$

Using the pattern $left parenthesis a plus b right parenthesis left parenthesis a – b right parenthesis equals a squared – b squared comma$
$left parenthesis 5 k plus 1 right parenthesis left parenthesis 5 k – 1 right parenthesis equals 25 k squared – 1$

Find the sum.
$– 7 left parenthesis straight g squared right parenthesis straight h plus 9 left parenthesis straight g squared right parenthesis straight h$

MathematicsGrade10

Grade10

Mathematics

Name the polynomial by degree and number of terms.
$negative straight p to the power of 6 minus 9 straight p to the power of 5 plus 3 straight p to the power of 4 – 8 straight p cubed plus 7 straight p$

MathematicsGrade10

Grade10

Mathematics

A cube has square sides with area $straight x squared plus 24 straight x plus 144$ . What expression represents the surface area of the cube?

MathematicsGrade10

Grade10

Mathematics

Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures televisions can be modeled by the polynomial $3 straight x squared plus 180 straight x$ . The cost, in dollars, of producing the televisions can be modeled by $3 straight x squared minus 160 straight x plus 300$ . The variable x is the number of televisions sold. If 150 televisions are sold, what is the profit?

MathematicsGrade10

Grade10

Mathematics

Simplify the expression.
$left parenthesis 3 – 6 straight n to the power of 5 – 8 straight n to the power of 4 right parenthesis – left parenthesis negative 6 straight n to the power of 4 – 3 straight n – 8 straight n to the power of 5 right parenthesis$

MathematicsGrade10

Grade10

Mathematics

Subtract $5 straight y squared – 6 straight y – 11$ from $6 straight y squared plus 2 straight y plus 5$ . The answer should be in standard polynomial form.

MathematicsGrade10

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Find the product. (5k - 1)(5k + 1)

The correct answer is:

Using the pattern

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The correct answer is: $25 k squared minus 1$

Using the pattern $left parenthesis a plus b right parenthesis left parenthesis a – b right parenthesis equals a squared – b squared comma$
$left parenthesis 5 k plus 1 right parenthesis left parenthesis 5 k – 1 right parenthesis equals 25 k squared – 1$

Use the square of a binomial to find the product. $72 squared$

Use the square of a binomial to find the product. $72 squared$

Use the square of a binomial to find the product. $56 squared$

Use the square of a binomial to find the product. $56 squared$

Find the product. $left parenthesis 3 x plus 2 right parenthesis squared$

Find the product. $left parenthesis 3 x plus 2 right parenthesis squared$

Find the product. $left parenthesis x minus 4 right parenthesis squared$

Find the product. $left parenthesis x minus 4 right parenthesis squared$

Find the sum.
$– 7 left parenthesis straight g squared right parenthesis straight h plus 9 left parenthesis straight g squared right parenthesis straight h$

Find the sum.
$– 7 left parenthesis straight g squared right parenthesis straight h plus 9 left parenthesis straight g squared right parenthesis straight h$

Name the polynomial by degree and number of terms.
$negative straight p to the power of 6 minus 9 straight p to the power of 5 plus 3 straight p to the power of 4 – 8 straight p cubed plus 7 straight p$

Name the polynomial by degree and number of terms.
$negative straight p to the power of 6 minus 9 straight p to the power of 5 plus 3 straight p to the power of 4 – 8 straight p cubed plus 7 straight p$

A cube has square sides with area $straight x squared plus 24 straight x plus 144$ . What expression represents the surface area of the cube?

A cube has square sides with area $straight x squared plus 24 straight x plus 144$ . What expression represents the surface area of the cube?

Simplify the expression.
$left parenthesis 3 – 6 straight n to the power of 5 – 8 straight n to the power of 4 right parenthesis – left parenthesis negative 6 straight n to the power of 4 – 3 straight n – 8 straight n to the power of 5 right parenthesis$

Simplify the expression.
$left parenthesis 3 – 6 straight n to the power of 5 – 8 straight n to the power of 4 right parenthesis – left parenthesis negative 6 straight n to the power of 4 – 3 straight n – 8 straight n to the power of 5 right parenthesis$

Subtract $5 straight y squared – 6 straight y – 11$ from $6 straight y squared plus 2 straight y plus 5$ . The answer should be in standard polynomial form.

Subtract $5 straight y squared – 6 straight y – 11$ from $6 straight y squared plus 2 straight y plus 5$ . The answer should be in standard polynomial form.