Jovise

id: 1263

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Glossary

Count : To count means to find out the number of objects by adding one for every object.

Hint

Count down by 8 starting at 11.

Solution

The correct answer is D. Counting down 8 starting from 11 gives: 11, 10, 9, 8, 7, 6, 5, 4, 3.

What is 11-8?

A 4
B 6
C 5
D 3

id: 4157

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Glossary

Squared : $x$ squared refers to the number $x^2=x\cdot x.$ For example 3 squared equals 9.

Hint

Calculate $25\cdot25=20\cdot25+5\cdot 25$

Solution

The correct answer is 625. $25^2=25\cdot25=625$

What is ${25}^2=25\cdot25$?

id: 9155

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Glossary

Follow from : A second equation or inequality follows from an initial equation or inequality if all solutions of the initial equation are also solutions from the second equation or inequality. It does not necessarily have to be the case that all solutions of the second equation or inequality have to by solutions of the first inequality. For example $x^2=1$ follows from $x=1$, but $x^2=1$ is not equivalent to $x=1$ as -1 is a solution of $x^2=1$ but not a solution of $x=1.$

Inequality : An inequality is a statement that contains an inequality sign between two expressions.

Positive : Positive means $\geq 0.$

Subtraction : Subtraction is the mathematical operation that describes decreasing a number by an amount equal to a second number. The mathematical symbol for subtraction is the minus sign $-.$ The term subtraction is also used for a generalization of this basic operation on numbers to functions, vectors and matrices.

Hint

Which of the inequalities can be obtained by applying the same operations on the left side and the right side of the original inequality.

Solution

The correct answers are B and C. $(4x+2)^2>25$ follows from the original inequality by squaring because both sides of the original inequality are positive. $x>\frac{3}{4}$ follows from the original inequality by first subtracting 2 and then dividing by 4.

Which of the following inequalities follow from $4x+2>5$?

A $(4x+2)^3<25$
B $(4x+2)^2>25$
C $x>\frac{3}{4}$
D $(4x+2)^2<25$

Welcome to Jovise!