Jovise

Welcome to Jovise!

Interact with our math tutor chatbot. Practice math by grade, topic and skill. Try our daily quiz below.

Example questions include "What is a fraction?" and "What is the square root of 16?".

id: 966

➖ ✔️ ➕ 📖 🔑 ✏️

Glossary

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

Hint

Count up by 3 starting at 3.

Solution

The correct answer is C. Counting up from 3, we reach the right answer after 3 steps: 3, 4, 5, 6.

What is 3+3?

A 33
B 8
C 6
D 0

id: 3531

➖ ✔️ ➕ 📖 🔑 ✏️

Glossary

Partial products method : A method for calculating a product of two multi-digit numbers by writing both numbers as a sum of ones, tens, hundreds and so on, then multiplying each pair of terms and finally summing up all the terms. For example $12\cdot 34=(10+2)\cdot(30+4)$ $=10\cdot 30+10\cdot 4+2\cdot 30+2\cdot 4$ $=300+40+60+8=408.$

Hint

Use the partial products method by calculating 70×6+0×6.

Solution

The correct answer is 420. $70\cdot6=70\cdot6+0\cdot6$ $=420+0=420$

What is 70×6?

id: 8185

➖ ✔️ ➕ 📖 🔑 ✏️

Glossary

Equation : An equation is a mathematical statement in which two expressions are written with an equal sign in between. A solution of an equation is a set of variables that makes the statement a true statement.

Infinity : Infinity or $\infty$ represents a number that is bigger than all numbers in $\mathbb{R}.$

Multiple : A multiple of a number $x$ is any of the numbers $1x,2x,3x,4x,\ldots.$ For example the multiples of 7 include 7, 14, 21 and 70.

Solution : A solution to an equation is a choice of variables that when substituted into the equation results in a true statement.

Hint

If the second equation is a multiple of the first, the equation has an infinite number of solutions. If the left side of the second equation is a multiple of the left side of the first equation but the right sides are not the same multiple of each other, then the equations can not be fulfilled simultaneously. If the left hand side of the second equation is not a multiple of the left hand side of the first equation then there is exactly one pair $x,y$ that solves these two equations at the same time.

Solution

The correct answer is A. The left hand side of the second equation is not a multiple of the left hand side of the first equation. This means that there is exactly one pair $x,y$ that solves both equations at the same time.

How many solutions $x,y$ are there that solve the two following equations at the same time: $$3x+2y=16,$$ $$2x-3y=2?$$

A 1
B 0
C 2
D an infinite number

Previous Next